Atkin-Lehner |
2+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15808k |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-2460483584 = -1 · 219 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -3 3 3 0 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3916,-94352] |
[a1,a2,a3,a4,a6] |
j |
-25334470953/9386 |
j-invariant |
L |
2.4140108822972 |
L(r)(E,1)/r! |
Ω |
0.30175136028715 |
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 |
15808z1 494c1 |
Quadratic twists by: -4 8 |