Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122f |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
-1.5138477816955E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9628214,-21973508652] |
[a1,a2,a3,a4,a6] |
Generators |
[1934869501:-14004430134:493039] |
Generators of the group modulo torsion |
j |
-55719200359209436993/85452760683683712 |
j-invariant |
L |
4.863957442538 |
L(r)(E,1)/r! |
Ω |
0.040650252707505 |
Real period |
R |
11.965380578409 |
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 |
102366bg1 3102h1 |
Quadratic twists by: -3 -11 |