Atkin-Lehner |
2- 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
9516b |
Isogeny class |
Conductor |
9516 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-5481216 = -1 · 28 · 33 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 2 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-111] |
[a1,a2,a3,a4,a6] |
j |
-65536/21411 |
j-invariant |
L |
1.0792180471809 |
L(r)(E,1)/r! |
Ω |
1.0792180471809 |
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 |
38064bf1 28548h1 123708c1 |
Quadratic twists by: -4 -3 13 |