Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778w |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
14103990908485632 = 218 · 33 · 74 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-458478,119313540] |
[a1,a2,a3,a4,a6] |
Generators |
[-516:15042:1] |
Generators of the group modulo torsion |
j |
10658087323714628358625/14103990908485632 |
j-invariant |
L |
7.5872707139375 |
L(r)(E,1)/r! |
Ω |
0.39524204476608 |
Real period |
R |
0.53323658912941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
70224bi1 26334w1 61446bm1 96558w1 |
Quadratic twists by: -4 -3 -7 -11 |