Atkin-Lehner |
2- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31096g |
Isogeny class |
Conductor |
31096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-62439292308224 = -1 · 28 · 139 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 0 3 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2929,386021] |
[a1,a2,a3,a4,a6] |
Generators |
[620:15379:1] |
Generators of the group modulo torsion |
j |
-1024/23 |
j-invariant |
L |
5.5316563076628 |
L(r)(E,1)/r! |
Ω |
0.52228089186835 |
Real period |
R |
2.6478358646601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62192f1 31096c1 |
Quadratic twists by: -4 13 |