Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107916l |
Isogeny class |
Conductor |
107916 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
400080609324288 = 28 · 33 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 3- 0 5 -4 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49373,4095087] |
[a1,a2,a3,a4,a6] |
Generators |
[1178:1587:8] |
Generators of the group modulo torsion |
j |
351232000/10557 |
j-invariant |
L |
9.7164516712087 |
L(r)(E,1)/r! |
Ω |
0.53057206611375 |
Real period |
R |
1.5260967513674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4692c1 |
Quadratic twists by: -23 |