Atkin-Lehner |
31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56699a |
Isogeny class |
Conductor |
56699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-50320571209019 = -1 · 318 · 59 |
Discriminant |
Eigenvalues |
-1 3 3 -3 2 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8949,99238] |
[a1,a2,a3,a4,a6] |
Generators |
[87600450:1347422179:421875] |
Generators of the group modulo torsion |
j |
89314623/56699 |
j-invariant |
L |
8.4913450926467 |
L(r)(E,1)/r! |
Ω |
0.3939513279418 |
Real period |
R |
10.777149980788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1829a1 |
Quadratic twists by: -31 |