Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808n |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
14966147328 = 28 · 3 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1492,-21892] |
[a1,a2,a3,a4,a6] |
Generators |
[5570:5712:125] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
5.1830155497882 |
L(r)(E,1)/r! |
Ω |
0.77005647147241 |
Real period |
R |
6.7306953993619 |
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 |
2904k1 23232dc1 17424v1 528d1 |
Quadratic twists by: -4 8 -3 -11 |