Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680s |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6181218395095040 = -1 · 219 · 5 · 119 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 11- -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-171376,27624896] |
[a1,a2,a3,a4,a6] |
Generators |
[488:7744:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
3.7877633653663 |
L(r)(E,1)/r! |
Ω |
0.42606174622577 |
Real period |
R |
1.1112718399739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210j1 38720dj1 87120gm1 48400bz1 |
Quadratic twists by: -4 8 -3 5 |