Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290dx |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
2256629626152343750 = 2 · 510 · 72 · 119 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ 7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-406260,68459887] |
[a1,a2,a3,a4,a6] |
j |
64180888499/19531250 |
j-invariant |
L |
4.8105607387486 |
L(r)(E,1)/r! |
Ω |
0.24052803701792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290cj1 59290bk1 |
Quadratic twists by: -7 -11 |