Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25092f |
Isogeny class |
Conductor |
25092 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17136 |
Modular degree for the optimal curve |
Δ |
8129808 = 24 · 36 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -4 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5409,153117] |
[a1,a2,a3,a4,a6] |
Generators |
[338:19:8] |
Generators of the group modulo torsion |
j |
1500469408512/697 |
j-invariant |
L |
5.0522281487276 |
L(r)(E,1)/r! |
Ω |
1.9040446942592 |
Real period |
R |
2.6534188845254 |
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 |
100368bm1 2788c1 |
Quadratic twists by: -4 -3 |