Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ez |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-27834396939030528 = -1 · 212 · 37 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180075,30487898] |
[a1,a2,a3,a4,a6] |
j |
-765625/33 |
j-invariant |
L |
1.4839504516206 |
L(r)(E,1)/r! |
Ω |
0.3709876142777 |
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 |
4851r1 25872bt1 77616eh1 |
Quadratic twists by: -4 -3 -7 |