Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6120u |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-6022998000 = -1 · 24 · 311 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1983,-34193] |
[a1,a2,a3,a4,a6] |
j |
-73934023936/516375 |
j-invariant |
L |
1.4302688406704 |
L(r)(E,1)/r! |
Ω |
0.35756721016759 |
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 |
12240n1 48960cz1 2040h1 30600n1 |
Quadratic twists by: -4 8 -3 5 |