Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600ce |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-41850978750000 = -1 · 24 · 314 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3450,-320875] |
[a1,a2,a3,a4,a6] |
j |
-24918016/229635 |
j-invariant |
L |
2.1783426985184 |
L(r)(E,1)/r! |
Ω |
0.2722928373148 |
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 |
25200bc1 100800fi1 4200d1 2520f1 |
Quadratic twists by: -4 8 -3 5 |