Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096p |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-20846592 = -1 · 211 · 33 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 1 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696,-7308] |
[a1,a2,a3,a4,a6] |
j |
-18232461938/10179 |
j-invariant |
L |
5.5761181356449 |
L(r)(E,1)/r! |
Ω |
0.46467651130374 |
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 |
9048f1 72384bs1 54288m1 |
Quadratic twists by: -4 8 -3 |