Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15272j |
Isogeny class |
Conductor |
15272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17792 |
Modular degree for the optimal curve |
Δ |
-44960768 = -1 · 210 · 232 · 83 |
Discriminant |
Eigenvalues |
2- -1 -4 -3 1 6 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4600,-118564] |
[a1,a2,a3,a4,a6] |
j |
-10514573445604/43907 |
j-invariant |
L |
1.1593968504073 |
L(r)(E,1)/r! |
Ω |
0.28984921260182 |
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 |
30544c1 122176s1 |
Quadratic twists by: -4 8 |