Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576be |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
16 |
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 |
[-313971259567:201448378335366:4173281] |
Generators of the group modulo torsion |
j |
-2755540349064140770138698691784/40584105098407543642983 |
j-invariant |
L |
10.354373081423 |
L(r)(E,1)/r! |
Ω |
0.035982633710817 |
Real period |
R |
17.985018072604 |
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 |
108576bf1 36192g1 |
Quadratic twists by: -4 -3 |