Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124m |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3784218256 = 24 · 72 · 136 |
Discriminant |
Eigenvalues |
2- -1 3 7- 3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-394,701] |
[a1,a2,a3,a4,a6] |
Generators |
[35:169:1] |
Generators of the group modulo torsion |
j |
1792 |
j-invariant |
L |
5.7214944333693 |
L(r)(E,1)/r! |
Ω |
1.2095011818305 |
Real period |
R |
1.1826144776291 |
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 |
33124c1 196a1 |
Quadratic twists by: -7 13 |