Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bl |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1559040000 = 212 · 3 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336,1536] |
[a1,a2,a3,a4,a6] |
j |
1027243729/380625 |
j-invariant |
L |
2.7513117695823 |
L(r)(E,1)/r! |
Ω |
1.3756558848602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045g1 |
Quadratic twists by: -4 |