Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15808b |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-74186944 = -1 · 26 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 1 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49,377] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:117:8] |
Generators of the group modulo torsion |
j |
199176704/1159171 |
j-invariant |
L |
7.1147949552042 |
L(r)(E,1)/r! |
Ω |
1.4021147248979 |
Real period |
R |
2.5371657642787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15808e1 7904d1 |
Quadratic twists by: -4 8 |