Atkin-Lehner |
2- 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15732f |
Isogeny class |
Conductor |
15732 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-39984946173524736 = -1 · 28 · 316 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 3 3 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4660752,3872874692] |
[a1,a2,a3,a4,a6] |
j |
-59996263288753291264/214254041139 |
j-invariant |
L |
3.816938106909 |
L(r)(E,1)/r! |
Ω |
0.31807817557575 |
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 |
62928bf1 5244a1 |
Quadratic twists by: -4 -3 |