Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51156q |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
1187536922977104 = 24 · 37 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2597196,1611034985] |
[a1,a2,a3,a4,a6] |
j |
4116309458944/2523 |
j-invariant |
L |
2.4090301223558 |
L(r)(E,1)/r! |
Ω |
0.40150502042198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052e1 51156o1 |
Quadratic twists by: -3 -7 |