Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25230k |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1788467175717120 = 28 · 34 · 5 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-210268,37037978] |
[a1,a2,a3,a4,a6] |
Generators |
[-452:6533:1] |
Generators of the group modulo torsion |
j |
1728432036001/3006720 |
j-invariant |
L |
5.9214206617959 |
L(r)(E,1)/r! |
Ω |
0.47058115240784 |
Real period |
R |
1.5729010372328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690bf1 126150cd1 870g1 |
Quadratic twists by: -3 5 29 |