Atkin-Lehner |
3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11781d |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
2235143592297 = 315 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1989162,-1079327777] |
[a1,a2,a3,a4,a6] |
Generators |
[73830718:4432863577:17576] |
Generators of the group modulo torsion |
j |
1194006714002239614625/3066040593 |
j-invariant |
L |
5.3356393480458 |
L(r)(E,1)/r! |
Ω |
0.12712530444234 |
Real period |
R |
10.492874277571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3927a1 82467r1 129591s1 |
Quadratic twists by: -3 -7 -11 |