Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600n |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
71200000000 = 211 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 2 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165208,-25791088] |
[a1,a2,a3,a4,a6] |
Generators |
[928:24884:1] |
Generators of the group modulo torsion |
j |
623346571250/89 |
j-invariant |
L |
5.5366794323599 |
L(r)(E,1)/r! |
Ω |
0.23680538326057 |
Real period |
R |
5.845179020136 |
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 |
17800e1 35600g1 |
Quadratic twists by: -4 5 |