Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13536i |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1598574528 = -1 · 26 · 312 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 2 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,1924] |
[a1,a2,a3,a4,a6] |
j |
-21952/34263 |
j-invariant |
L |
2.4188112084243 |
L(r)(E,1)/r! |
Ω |
1.2094056042122 |
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 |
13536bd1 27072o1 4512r1 |
Quadratic twists by: -4 8 -3 |