Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6080g |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1848320 = 210 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,-24] |
[a1,a2,a3,a4,a6] |
j |
3538944/1805 |
j-invariant |
L |
2.119490542971 |
L(r)(E,1)/r! |
Ω |
2.119490542971 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6080w1 380a1 54720y1 30400b1 |
Quadratic twists by: -4 8 -3 5 |