Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150bd |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
2.5228791007007E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -4 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6059088,5735028992] |
[a1,a2,a3,a4,a6] |
Generators |
[868:33180:1] |
Generators of the group modulo torsion |
j |
39360941630571170446225/40366065611210752 |
j-invariant |
L |
9.7554559815895 |
L(r)(E,1)/r! |
Ω |
0.21120010280843 |
Real period |
R |
0.25661435271486 |
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 |
31150c1 |
Quadratic twists by: 5 |