Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120p |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
844007040000 = 210 · 39 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2403,-10098] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:891:8] |
Generators of the group modulo torsion |
j |
76136652/41875 |
j-invariant |
L |
5.3440137347459 |
L(r)(E,1)/r! |
Ω |
0.72924525900902 |
Real period |
R |
3.6640716334638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48240b1 24120c1 120600c1 |
Quadratic twists by: -4 -3 5 |