Atkin-Lehner |
2+ 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77714b |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14270256 |
Modular degree for the optimal curve |
Δ |
200173040377856 = 213 · 72 · 133 · 613 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-359585181,-2624675303683] |
[a1,a2,a3,a4,a6] |
j |
104938050229352357350159344553/4085164089344 |
j-invariant |
L |
4.1950242965166 |
L(r)(E,1)/r! |
Ω |
0.034669622121824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77714a1 |
Quadratic twists by: -7 |