Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808o |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-85034928 = -1 · 24 · 3 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,81,372] |
[a1,a2,a3,a4,a6] |
Generators |
[2380:11976:125] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
4.206297461808 |
L(r)(E,1)/r! |
Ω |
1.3004278649612 |
Real period |
R |
6.4690977102885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904d1 23232cz1 17424t1 48a4 |
Quadratic twists by: -4 8 -3 -11 |