Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
70644c |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
438480 |
Modular degree for the optimal curve |
Δ |
1512745152794064 = 24 · 33 · 7 · 298 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -4 -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65037,-6081894] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:474:1] |
Generators of the group modulo torsion |
j |
3801088/189 |
j-invariant |
L |
1.5044735511037 |
L(r)(E,1)/r! |
Ω |
0.29987989714294 |
Real period |
R |
5.0169203253057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70644h1 |
Quadratic twists by: 29 |