Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ey |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-25630816755253248 = -1 · 228 · 311 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38955,-8251558] |
[a1,a2,a3,a4,a6] |
j |
-44681709625/175177728 |
j-invariant |
L |
0.6207737038198 |
L(r)(E,1)/r! |
Ω |
0.15519342956262 |
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 |
9702cb1 25872bs1 77616eg1 |
Quadratic twists by: -4 -3 -7 |