Atkin-Lehner |
3+ 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807a |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
123140061 = 33 · 11 · 17 · 293 |
Discriminant |
Eigenvalues |
0 3+ 3 -1 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1926,32529] |
[a1,a2,a3,a4,a6] |
j |
29263670378496/4560743 |
j-invariant |
L |
1.1985477744151 |
L(r)(E,1)/r! |
Ω |
1.7978216630611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48807d2 |
Quadratic twists by: -3 |