Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808c |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-13334837269248 = -1 · 28 · 35 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 11- 6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8873,369525] |
[a1,a2,a3,a4,a6] |
j |
-1408000/243 |
j-invariant |
L |
2.043068237833 |
L(r)(E,1)/r! |
Ω |
0.68102274594433 |
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 |
2904m1 23232dj1 17424o1 5808d1 |
Quadratic twists by: -4 8 -3 -11 |