Atkin-Lehner |
2+ 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626b |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
68572764 = 22 · 33 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 0 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156,676] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:26:1] [-6:40:1] |
Generators of the group modulo torsion |
j |
54000891/8788 |
j-invariant |
L |
7.015772810792 |
L(r)(E,1)/r! |
Ω |
1.8660701686719 |
Real period |
R |
0.31330426049865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67626r2 67626c1 |
Quadratic twists by: -3 17 |