Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95220bb |
Isogeny class |
Conductor |
95220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
10643691600 = 24 · 37 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,529] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:45:1] |
Generators of the group modulo torsion |
j |
131072/75 |
j-invariant |
L |
7.5352069311886 |
L(r)(E,1)/r! |
Ω |
1.0979342364135 |
Real period |
R |
1.1438461259854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31740f1 95220k1 |
Quadratic twists by: -3 -23 |