Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950bd |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-42979460498437500 = -1 · 22 · 318 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-546417,-155648759] |
[a1,a2,a3,a4,a6] |
Generators |
[1229:31448:1] |
Generators of the group modulo torsion |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
2.7383809995172 |
L(r)(E,1)/r! |
Ω |
0.087786248876157 |
Real period |
R |
3.899216896971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650u1 6390u1 |
Quadratic twists by: -3 5 |