Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60320j |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
193024000 = 212 · 53 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -4 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-365,-2725] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:5:1] |
Generators of the group modulo torsion |
j |
1316532736/47125 |
j-invariant |
L |
8.1157315767713 |
L(r)(E,1)/r! |
Ω |
1.0944145101807 |
Real period |
R |
1.2359320137262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320k1 120640cd1 |
Quadratic twists by: -4 8 |