Atkin-Lehner |
2+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12328a |
Isogeny class |
Conductor |
12328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-7083570176 = -1 · 210 · 23 · 673 |
Discriminant |
Eigenvalues |
2+ -1 1 2 -2 4 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10120,-388516] |
[a1,a2,a3,a4,a6] |
j |
-111945903743524/6917549 |
j-invariant |
L |
1.427974640978 |
L(r)(E,1)/r! |
Ω |
0.23799577349634 |
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 |
24656b1 98624a1 110952f1 |
Quadratic twists by: -4 8 -3 |