Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15808l |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-252928 = -1 · 210 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 6 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,24] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] |
Generators of the group modulo torsion |
j |
6912/247 |
j-invariant |
L |
4.7220190451179 |
L(r)(E,1)/r! |
Ω |
2.3523667200111 |
Real period |
R |
2.0073481761788 |
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 |
15808q1 1976a1 |
Quadratic twists by: -4 8 |