Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63426bb |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
56246400 |
Modular degree for the optimal curve |
Δ |
-4.6718835278704E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1688990194,26717130253892] |
[a1,a2,a3,a4,a6] |
Generators |
[54194:9686396:1] |
Generators of the group modulo torsion |
j |
-624757597087742358817/5477702687424 |
j-invariant |
L |
12.667979473857 |
L(r)(E,1)/r! |
Ω |
0.06953572332862 |
Real period |
R |
7.5908102020226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000558 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63426z1 |
Quadratic twists by: -31 |