Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048m |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
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] |
j |
-12869712/19343 |
j-invariant |
L |
2.2177104328137 |
L(r)(E,1)/r! |
Ω |
0.55442762107243 |
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 |
48024b1 10672a1 |
Quadratic twists by: -4 -3 |