Atkin-Lehner |
2- 3- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202bg |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-278729415438769152 = -1 · 210 · 314 · 114 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37949,25569285] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:5160:1] |
Generators of the group modulo torsion |
j |
-8290609572792457/382344877145088 |
j-invariant |
L |
10.642623700728 |
L(r)(E,1)/r! |
Ω |
0.25634366643539 |
Real period |
R |
0.51896268048919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734e1 |
Quadratic twists by: -3 |