Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bo |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
56344065343488000 = 232 · 33 · 53 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4378336,3524761460] |
[a1,a2,a3,a4,a6] |
j |
2266162893640266805729/13755875328000 |
j-invariant |
L |
1.8856551358483 |
L(r)(E,1)/r! |
Ω |
0.3142758565006 |
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 |
8970h1 |
Quadratic twists by: -4 |