Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720x |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-523710000 = -1 · 24 · 32 · 54 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-571,5180] |
[a1,a2,a3,a4,a6] |
j |
-1289057880064/32731875 |
j-invariant |
L |
3.289790271595 |
L(r)(E,1)/r! |
Ω |
1.644895134694 |
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 |
30360q1 |
Quadratic twists by: -4 |