Atkin-Lehner |
2- 3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464w |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1124352 |
Modular degree for the optimal curve |
Δ |
5988354887550672 = 24 · 34 · 74 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46905,1209996] |
[a1,a2,a3,a4,a6] |
j |
713297019540914176/374272180471917 |
j-invariant |
L |
0.74726567500624 |
L(r)(E,1)/r! |
Ω |
0.37363291581491 |
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 |
25116i1 |
Quadratic twists by: -4 |