Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720p |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-4516641041679360 = -1 · 210 · 320 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7304,-3222076] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1638:1] |
Generators of the group modulo torsion |
j |
42077176324124/4410782267265 |
j-invariant |
L |
7.5250006225173 |
L(r)(E,1)/r! |
Ω |
0.20657394622815 |
Real period |
R |
3.6427636494131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360b3 |
Quadratic twists by: -4 |