Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312l |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-37103616 = -1 · 211 · 33 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11- -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,-298] |
[a1,a2,a3,a4,a6] |
j |
-39366/671 |
j-invariant |
L |
1.766300578379 |
L(r)(E,1)/r! |
Ω |
0.88315028921246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624c1 48312c1 |
Quadratic twists by: -4 -3 |