Atkin-Lehner |
2- 3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15276a |
Isogeny class |
Conductor |
15276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-252724738608 = -1 · 24 · 33 · 194 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8053,276536] |
[a1,a2,a3,a4,a6] |
j |
-3610195787776000/15795296163 |
j-invariant |
L |
2.9692533126051 |
L(r)(E,1)/r! |
Ω |
0.98975110420169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104o1 45828e1 |
Quadratic twists by: -4 -3 |