Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bf |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
24717656250 = 2 · 36 · 57 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-132417,-18513509] |
[a1,a2,a3,a4,a6] |
Generators |
[-5667:2846:27] |
Generators of the group modulo torsion |
j |
22542871522249/2170 |
j-invariant |
L |
2.2543874343672 |
L(r)(E,1)/r! |
Ω |
0.25027269333631 |
Real period |
R |
2.2519310882049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850u1 19530cg1 |
Quadratic twists by: -3 5 |