Atkin-Lehner |
7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
34447l |
Isogeny class |
Conductor |
34447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-4581451 = -1 · 73 · 192 · 37 |
Discriminant |
Eigenvalues |
-2 0 1 7- 3 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-287,1874] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-10:1] [-7:59:1] |
Generators of the group modulo torsion |
j |
-7622111232/13357 |
j-invariant |
L |
4.8342615992834 |
L(r)(E,1)/r! |
Ω |
2.4468671138631 |
Real period |
R |
0.4939235943682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34447h1 |
Quadratic twists by: -7 |