Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279l |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145728 |
Modular degree for the optimal curve |
Δ |
79627679166189 = 3 · 73 · 118 · 192 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-78085,8361502] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:826:1] |
Generators of the group modulo torsion |
j |
245635219456/371469 |
j-invariant |
L |
5.7328559327065 |
L(r)(E,1)/r! |
Ω |
0.60918107604077 |
Real period |
R |
4.7053792034737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48279x1 |
Quadratic twists by: -11 |