Atkin-Lehner |
5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025h |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3581615390869140625 = 512 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11+ 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1017480,384653522] |
[a1,a2,a3,a4,a6] |
Generators |
[154676:6944505:64] |
Generators of the group modulo torsion |
j |
7455571334873897481/229223385015625 |
j-invariant |
L |
3.2557931906841 |
L(r)(E,1)/r! |
Ω |
0.24847635852729 |
Real period |
R |
6.5515150213507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005b2 |
Quadratic twists by: 5 |