Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bo |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-5292656144326656 = -1 · 213 · 311 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 -3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65480,-7316112] |
[a1,a2,a3,a4,a6] |
j |
-64432972729/10983114 |
j-invariant |
L |
1.1827800541476 |
L(r)(E,1)/r! |
Ω |
0.1478475048085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114k1 1488n1 |
Quadratic twists by: -4 -7 |