Atkin-Lehner |
5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
33925f |
Isogeny class |
Conductor |
33925 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
-148337592578125 = -1 · 58 · 235 · 59 |
Discriminant |
Eigenvalues |
-1 -2 5- -3 -4 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11362,356017] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:299:1] [1288:45747:1] |
Generators of the group modulo torsion |
j |
415265300735/379744237 |
j-invariant |
L |
3.397841943625 |
L(r)(E,1)/r! |
Ω |
0.37831096316995 |
Real period |
R |
0.59877407290441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33925a1 |
Quadratic twists by: 5 |