Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810i |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
36707609401080250 = 2 · 53 · 598 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2100856,-1172179130] |
[a1,a2,a3,a4,a6] |
Generators |
[6552808302596572394166589412293660170:-996640255049355755570736279655100207645:283995629956887979464424926823896] |
Generators of the group modulo torsion |
j |
6983875489/250 |
j-invariant |
L |
7.5114955803325 |
L(r)(E,1)/r! |
Ω |
0.12540111991829 |
Real period |
R |
59.899748783958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810a2 |
Quadratic twists by: -59 |