Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248ca |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3032992311140155392 = -1 · 236 · 38 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14979,-83793278] |
[a1,a2,a3,a4,a6] |
j |
-124475734657/1015742988288 |
j-invariant |
L |
4.1460882932772 |
L(r)(E,1)/r! |
Ω |
0.11516911925778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906h1 124992gd1 10416bl1 |
Quadratic twists by: -4 8 -3 |