Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330bf |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
3.2723407373246E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14948880,20477056256] |
[a1,a2,a3,a4,a6] |
Generators |
[5289251:-208045888:1331] |
Generators of the group modulo torsion |
j |
4307585705106105969/381542350192640 |
j-invariant |
L |
4.1485172276961 |
L(r)(E,1)/r! |
Ω |
0.1138171980017 |
Real period |
R |
9.1122372114392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370t1 8190t1 |
Quadratic twists by: -3 -7 |