Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600ci |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-14065143750000 = -1 · 24 · 38 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-183125] |
[a1,a2,a3,a4,a6] |
j |
-160000/3087 |
j-invariant |
L |
1.2144363942343 |
L(r)(E,1)/r! |
Ω |
0.30360909855858 |
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 |
25200cl1 100800gv1 4200p1 12600u1 |
Quadratic twists by: -4 8 -3 5 |