Atkin-Lehner |
3- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807m |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-43487037 = -1 · 36 · 112 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 3 11- -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-695,7228] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-4:1] [118:-19:8] |
Generators of the group modulo torsion |
j |
-50858627625/59653 |
j-invariant |
L |
6.6723552613052 |
L(r)(E,1)/r! |
Ω |
2.0211266043303 |
Real period |
R |
0.82532623723424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5423a1 |
Quadratic twists by: -3 |