Atkin-Lehner |
2+ 5+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
87550d |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
3856195305728000000 = 214 · 56 · 175 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-629642,-167337484] |
[a1,a2,a3,a4,a6] |
Generators |
[-341:2933:1] |
Generators of the group modulo torsion |
j |
1766790857711104497/246796499566592 |
j-invariant |
L |
4.2537062876577 |
L(r)(E,1)/r! |
Ω |
0.1710561935629 |
Real period |
R |
2.4867303508846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3502a1 |
Quadratic twists by: 5 |