Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bx |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
52899686471503872 = 212 · 35 · 7 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9424204,11131706477] |
[a1,a2,a3,a4,a6] |
j |
19177749277229260873/10959556608 |
j-invariant |
L |
1.7512116079046 |
L(r)(E,1)/r! |
Ω |
0.29186860542171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006g1 |
Quadratic twists by: 13 |