Atkin-Lehner |
3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279a |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-26022381 = -1 · 3 · 73 · 113 · 19 |
Discriminant |
Eigenvalues |
1 3+ -3 7+ 11+ 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79,334] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-41781923/19551 |
j-invariant |
L |
4.0645120748653 |
L(r)(E,1)/r! |
Ω |
1.9765030836941 |
Real period |
R |
1.0282078759251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48279g1 |
Quadratic twists by: -11 |