Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246bg |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-171510533919648 = -1 · 25 · 317 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52196,-4619865] |
[a1,a2,a3,a4,a6] |
j |
-178284948703873/1944365472 |
j-invariant |
L |
1.5782604069747 |
L(r)(E,1)/r! |
Ω |
0.15782604069747 |
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 |
121968fx1 5082b1 106722gx1 15246r1 |
Quadratic twists by: -4 -3 -7 -11 |