Atkin-Lehner |
3- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587j |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
68490495513 = 38 · 114 · 23 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1566,20655] |
[a1,a2,a3,a4,a6] |
Generators |
[820:2835:64] |
Generators of the group modulo torsion |
j |
582810602977/93951297 |
j-invariant |
L |
9.3006437785299 |
L(r)(E,1)/r! |
Ω |
1.0498564122033 |
Real period |
R |
4.4294837226448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23529e1 |
Quadratic twists by: -3 |