Atkin-Lehner |
2- 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030be |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-25699158157500 = -1 · 22 · 312 · 54 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2003,246831] |
[a1,a2,a3,a4,a6] |
j |
-1218528651241/35252617500 |
j-invariant |
L |
4.4798384852061 |
L(r)(E,1)/r! |
Ω |
0.55997981084406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010e1 |
Quadratic twists by: -3 |