Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bh |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-2303359575884928000 = -1 · 210 · 312 · 53 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,194120,65242628] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:4830:1] |
Generators of the group modulo torsion |
j |
790009595281977116/2249374585825125 |
j-invariant |
L |
8.6072937300042 |
L(r)(E,1)/r! |
Ω |
0.18210975263585 |
Real period |
R |
1.3128977939712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30360g3 |
Quadratic twists by: -4 |