Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6120p |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2235763626480 = -1 · 24 · 39 · 5 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -3 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4023,121743] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:459:1] |
Generators of the group modulo torsion |
j |
-22864543488/7099285 |
j-invariant |
L |
3.3496092423886 |
L(r)(E,1)/r! |
Ω |
0.77693084706656 |
Real period |
R |
0.21556675571807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12240c1 48960z1 6120b1 30600d1 |
Quadratic twists by: -4 8 -3 5 |