Atkin-Lehner |
2- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
48664f |
Isogeny class |
Conductor |
48664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40896 |
Modular degree for the optimal curve |
Δ |
-561076551728 = -1 · 24 · 79 · 11 · 79 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11+ 7 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1777,21040] |
[a1,a2,a3,a4,a6] |
j |
38763375872000/35067284483 |
j-invariant |
L |
1.2030187763928 |
L(r)(E,1)/r! |
Ω |
0.60150938802594 |
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 |
97328g1 |
Quadratic twists by: -4 |