Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024b |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3609868032 = -1 · 28 · 36 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,3402] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:72:1] |
Generators of the group modulo torsion |
j |
-12869712/19343 |
j-invariant |
L |
7.597729916685 |
L(r)(E,1)/r! |
Ω |
1.2608311446871 |
Real period |
R |
1.506492354013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96048m1 5336b1 |
Quadratic twists by: -4 -3 |