Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840bn |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-65105920 = -1 · 212 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11- -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,384] |
[a1,a2,a3,a4,a6] |
Generators |
[30:168:1] |
Generators of the group modulo torsion |
j |
592704/15895 |
j-invariant |
L |
7.4366090085438 |
L(r)(E,1)/r! |
Ω |
1.4735679826989 |
Real period |
R |
2.5233342117647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59840bh1 29920b1 |
Quadratic twists by: -4 8 |