Atkin-Lehner |
2+ 3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570b |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
333412174080 = 28 · 38 · 5 · 29 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-335025,-74554979] |
[a1,a2,a3,a4,a6] |
Generators |
[690:4391:1] |
Generators of the group modulo torsion |
j |
5704644174000080401/457355520 |
j-invariant |
L |
2.9683899345866 |
L(r)(E,1)/r! |
Ω |
0.19844044489602 |
Real period |
R |
3.7396483534969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190q1 |
Quadratic twists by: -3 |