Atkin-Lehner |
3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675q |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-29781034435546875 = -1 · 35 · 59 · 137 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 1 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14083,8332443] |
[a1,a2,a3,a4,a6] |
j |
-32768/3159 |
j-invariant |
L |
1.22396882256 |
L(r)(E,1)/r! |
Ω |
0.30599220564001 |
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 |
38025cf1 12675be1 975f1 |
Quadratic twists by: -3 5 13 |