Atkin-Lehner |
2+ 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bc |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
9237888 |
Modular degree for the optimal curve |
Δ |
-9.7292877784801E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,482183,4743972188] |
[a1,a2,a3,a4,a6] |
Generators |
[6619:542522:1] |
Generators of the group modulo torsion |
j |
5163789508999542743/4052181498742211904 |
j-invariant |
L |
8.0605550027856 |
L(r)(E,1)/r! |
Ω |
0.10081928635918 |
Real period |
R |
2.2208479345429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078608 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
128478h1 |
Quadratic twists by: -7 |