Atkin-Lehner |
2+ 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450t |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
13104709632000 = 220 · 33 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117762,15582996] |
[a1,a2,a3,a4,a6] |
j |
53514014005477719/3882876928 |
j-invariant |
L |
2.6971235558725 |
L(r)(E,1)/r! |
Ω |
0.67428088940649 |
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 |
72450da1 72450cv1 |
Quadratic twists by: -3 5 |