Atkin-Lehner |
3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12675bm |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
-35790185383875 = -1 · 33 · 53 · 139 |
Discriminant |
Eigenvalues |
2 3- 5- 3 5 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-106188,13286459] |
[a1,a2,a3,a4,a6] |
j |
-99897344/27 |
j-invariant |
L |
7.6390942920433 |
L(r)(E,1)/r! |
Ω |
0.63659119100361 |
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 |
38025dc1 12675u1 12675bn1 |
Quadratic twists by: -3 5 13 |