Atkin-Lehner |
5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4025f |
Isogeny class |
Conductor |
4025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2720 |
Modular degree for the optimal curve |
Δ |
-7232421875 = -1 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
0 1 5- 7+ -1 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8583,303244] |
[a1,a2,a3,a4,a6] |
Generators |
[58:62:1] |
Generators of the group modulo torsion |
j |
-35806478336/3703 |
j-invariant |
L |
3.3415575246489 |
L(r)(E,1)/r! |
Ω |
1.2697333712792 |
Real period |
R |
0.65792504163342 |
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 |
64400ch1 36225bz1 4025g1 28175ba1 |
Quadratic twists by: -4 -3 5 -7 |