Atkin-Lehner |
3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675r |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-37281443108203125 = -1 · 32 · 58 · 139 |
Discriminant |
Eigenvalues |
1 3+ 5- -3 1 13+ 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-192325,-33847250] |
[a1,a2,a3,a4,a6] |
j |
-417267265/19773 |
j-invariant |
L |
1.3640875236293 |
L(r)(E,1)/r! |
Ω |
0.11367396030244 |
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 |
38025ck1 12675z1 975e1 |
Quadratic twists by: -3 5 13 |