Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290ck |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
10226339200 = 27 · 52 · 74 · 113 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 11+ -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-573,2181] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:32:1] [-19:86:1] |
Generators of the group modulo torsion |
j |
6499899/3200 |
j-invariant |
L |
8.9780468512774 |
L(r)(E,1)/r! |
Ω |
1.1418898796635 |
Real period |
R |
0.093600540680655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290ea1 59290b1 |
Quadratic twists by: -7 -11 |