Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15096i |
Isogeny class |
Conductor |
15096 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-34781184 = -1 · 211 · 33 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 2 0 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,288] |
[a1,a2,a3,a4,a6] |
j |
207646/16983 |
j-invariant |
L |
4.7400571120401 |
L(r)(E,1)/r! |
Ω |
1.5800190373467 |
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 |
30192d1 120768v1 45288d1 |
Quadratic twists by: -4 8 -3 |