Atkin-Lehner |
3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675c |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2483441015625 = 39 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3417,13616] |
[a1,a2,a3,a4,a6] |
j |
14348907/8075 |
j-invariant |
L |
1.4047781193362 |
L(r)(E,1)/r! |
Ω |
0.70238907832812 |
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 |
72675g1 14535d1 |
Quadratic twists by: -3 5 |