Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336k |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-94618368 = -1 · 28 · 37 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 6 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-884] |
[a1,a2,a3,a4,a6] |
j |
-13312/3 |
j-invariant |
L |
1.3348729451123 |
L(r)(E,1)/r! |
Ω |
0.66743647255619 |
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 |
12168e1 97344fd1 8112l1 24336h1 |
Quadratic twists by: -4 8 -3 13 |