Atkin-Lehner |
3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215b |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
131322515625 = 39 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1365,-8200] |
[a1,a2,a3,a4,a6] |
j |
14295828483/6671875 |
j-invariant |
L |
3.2866211203282 |
L(r)(E,1)/r! |
Ω |
0.82165528008206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19215e1 96075h1 |
Quadratic twists by: -3 5 |