Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576bf |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
173859840 |
Modular degree for the optimal curve |
Δ |
-1.514793605977E+28 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -2 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21029398491,-1173799488498302] |
[a1,a2,a3,a4,a6] |
Generators |
[774718235523972385938867300575856012407025375546770485258711140562696479422225514693620876725251205651529244383447698045563974332074531714742038185544361369739069987474446396774834918701550173378543818771724466:140472970917380521261709093141141447551395705776289505432364235904715112408777973339622781634942056540731379819720151672476934963026034452584434919883714947539426412094192073959507075704142097744957721621513602824:4235245259943099699670546054918920866866641672921166039002636937321890124895209847732430571708839207434715913775305115748063212255815726342350517879842036751118312476731162879801127963401234357901584284063] |
Generators of the group modulo torsion |
j |
-2755540349064140770138698691784/40584105098407543642983 |
j-invariant |
L |
8.1296323624498 |
L(r)(E,1)/r! |
Ω |
0.0062684831468536 |
Real period |
R |
324.22645845871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108576be1 36192p1 |
Quadratic twists by: -4 -3 |