Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6120f |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1087904013750000 = -1 · 24 · 311 · 57 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25563,-2234513] |
[a1,a2,a3,a4,a6] |
j |
-158384129218816/93270234375 |
j-invariant |
L |
0.73526286941042 |
L(r)(E,1)/r! |
Ω |
0.18381571735261 |
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 |
12240k1 48960cu1 2040q1 30600cm1 |
Quadratic twists by: -4 8 -3 5 |