Atkin-Lehner |
2+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48880h |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53696 |
Modular degree for the optimal curve |
Δ |
-48880 = -1 · 24 · 5 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 4 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22640,-1318757] |
[a1,a2,a3,a4,a6] |
Generators |
[88218226031699:13155758912239595:3966822287] |
Generators of the group modulo torsion |
j |
-80214370475766016/3055 |
j-invariant |
L |
4.8159635712646 |
L(r)(E,1)/r! |
Ω |
0.19460269699122 |
Real period |
R |
24.747671259057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24440e1 |
Quadratic twists by: -4 |