Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
31900a |
Isogeny class |
Conductor |
31900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
15391351250000 = 24 · 57 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34033,2420562] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:2175:1] |
Generators of the group modulo torsion |
j |
17438019764224/61565405 |
j-invariant |
L |
7.55423742135 |
L(r)(E,1)/r! |
Ω |
0.70231023898472 |
Real period |
R |
1.7927113978077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600bg1 6380a1 |
Quadratic twists by: -4 5 |