Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030i |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1458729000 = -1 · 23 · 37 · 53 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -3 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9315,348381] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-15:1] |
Generators of the group modulo torsion |
j |
-122622731688241/2001000 |
j-invariant |
L |
3.530600434489 |
L(r)(E,1)/r! |
Ω |
1.3868375186924 |
Real period |
R |
1.2728962069907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010x1 |
Quadratic twists by: -3 |