Atkin-Lehner |
2- 3+ 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030bb |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
720360000 = 26 · 33 · 54 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242,-591] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:21:1] |
Generators of the group modulo torsion |
j |
57825915363/26680000 |
j-invariant |
L |
8.703884903832 |
L(r)(E,1)/r! |
Ω |
1.2654744674063 |
Real period |
R |
0.57316347398366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030a1 |
Quadratic twists by: -3 |