Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279x |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
44947749 = 3 · 73 · 112 · 192 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-645,-6517] |
[a1,a2,a3,a4,a6] |
Generators |
[-411:53:27] |
Generators of the group modulo torsion |
j |
245635219456/371469 |
j-invariant |
L |
7.1071268363602 |
L(r)(E,1)/r! |
Ω |
0.94731185958796 |
Real period |
R |
1.2504025231059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48279l1 |
Quadratic twists by: -11 |