Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124j |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3.1763026111409E+19 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 2 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4836104,-4102440524] |
[a1,a2,a3,a4,a6] |
Generators |
[18629889715437:-624316644063749:5998805513] |
Generators of the group modulo torsion |
j |
-86044336128/218491 |
j-invariant |
L |
3.844216762648 |
L(r)(E,1)/r! |
Ω |
0.050895523919009 |
Real period |
R |
18.882882357029 |
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 |
4732b1 2548j1 |
Quadratic twists by: -7 13 |