Atkin-Lehner |
2- 3- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bf |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
19164369602552832 = 210 · 38 · 72 · 175 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10913135,13878985335] |
[a1,a2,a3,a4,a6] |
Generators |
[-3093:135846:1] [1871:1818:1] |
Generators of the group modulo torsion |
j |
197171767422844871091625/26288572843008 |
j-invariant |
L |
15.609311444866 |
L(r)(E,1)/r! |
Ω |
0.30059968429475 |
Real period |
R |
0.51927238319556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274c1 |
Quadratic twists by: -3 |