Atkin-Lehner |
2- 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030x |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
175135003740000 = 25 · 39 · 54 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13988,-2969] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:821:1] |
Generators of the group modulo torsion |
j |
15376949322363/8897780000 |
j-invariant |
L |
10.883551800948 |
L(r)(E,1)/r! |
Ω |
0.48156701329731 |
Real period |
R |
1.130014255604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030e2 |
Quadratic twists by: -3 |