Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488g |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4192321536 = -1 · 214 · 39 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,324,-2160] |
[a1,a2,a3,a4,a6] |
j |
11664/13 |
j-invariant |
L |
1.4953757181451 |
L(r)(E,1)/r! |
Ω |
0.74768785907256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488bj1 936f1 7488e1 97344i1 |
Quadratic twists by: -4 8 -3 13 |