Atkin-Lehner |
2+ 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12546g |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
4682769408 = 210 · 38 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 4 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1080,-12992] |
[a1,a2,a3,a4,a6] |
j |
191202526081/6423552 |
j-invariant |
L |
1.6689734205842 |
L(r)(E,1)/r! |
Ω |
0.83448671029212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368cf1 4182f1 |
Quadratic twists by: -4 -3 |