Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030k |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2096158652675E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-491337585,-4188505378275] |
[a1,a2,a3,a4,a6] |
Generators |
[-1763487456082446942050385:-5434037170651172763112476:135940649524928518375] |
Generators of the group modulo torsion |
j |
17994349231347071868080812561/16592810223148303910400 |
j-invariant |
L |
4.1055841621845 |
L(r)(E,1)/r! |
Ω |
0.032068496582402 |
Real period |
R |
32.006366059528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010z2 |
Quadratic twists by: -3 |