Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502bd |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
911477587968 = 214 · 36 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13925,-627299] |
[a1,a2,a3,a4,a6] |
Generators |
[259:3488:1] |
Generators of the group modulo torsion |
j |
409593028559625/1250312192 |
j-invariant |
L |
8.6173191593096 |
L(r)(E,1)/r! |
Ω |
0.43957490141422 |
Real period |
R |
1.4002682935565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2278a1 |
Quadratic twists by: -3 |