Atkin-Lehner |
2+ 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074l |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
283608932576868 = 22 · 38 · 236 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 2 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18090,-471032] |
[a1,a2,a3,a4,a6] |
j |
654643562506434073/283608932576868 |
j-invariant |
L |
3.4257466397209 |
L(r)(E,1)/r! |
Ω |
0.42821832996511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80592q1 30222l1 |
Quadratic twists by: -4 -3 |