Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290co |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
34877046050 = 2 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4166,-103454] |
[a1,a2,a3,a4,a6] |
Generators |
[-2316:2153:64] |
Generators of the group modulo torsion |
j |
11463529/50 |
j-invariant |
L |
5.920703021935 |
L(r)(E,1)/r! |
Ω |
0.59440597329418 |
Real period |
R |
4.9803528968578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290eq1 59290d1 |
Quadratic twists by: -7 -11 |