Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675z |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-2386012358925 = -1 · 32 · 52 · 139 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 1 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7693,-270778] |
[a1,a2,a3,a4,a6] |
j |
-417267265/19773 |
j-invariant |
L |
2.0334616200629 |
L(r)(E,1)/r! |
Ω |
0.25418270250787 |
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 |
38025bf1 12675r1 975h1 |
Quadratic twists by: -3 5 13 |