Atkin-Lehner |
3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675g |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-29635546875 = -1 · 3 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 11+ 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,342,-8032] |
[a1,a2,a3,a4,a6] |
j |
282300416/1896675 |
j-invariant |
L |
1.1743210081092 |
L(r)(E,1)/r! |
Ω |
0.5871605040546 |
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 |
47025bg1 3135c1 |
Quadratic twists by: -3 5 |