Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35868i |
Isogeny class |
Conductor |
35868 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-105427816704 = -1 · 28 · 39 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 -2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,15588] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-126:1] |
Generators of the group modulo torsion |
j |
-4812208/1200663 |
j-invariant |
L |
5.505727477322 |
L(r)(E,1)/r! |
Ω |
0.86288389289556 |
Real period |
R |
0.11815948482309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107604w1 35868c1 |
Quadratic twists by: -3 -7 |