Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cf |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
18068378906250 = 2 · 39 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 1 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42305,3353447] |
[a1,a2,a3,a4,a6] |
j |
1176147025/2538 |
j-invariant |
L |
2.7648737159453 |
L(r)(E,1)/r! |
Ω |
0.69121842898633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050f1 21150bf1 |
Quadratic twists by: -3 5 |