Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4048h |
Isogeny class |
Conductor |
4048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
8290304 = 215 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 -3 3 11- -1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,106] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
5545233/2024 |
j-invariant |
L |
3.1633865961979 |
L(r)(E,1)/r! |
Ω |
2.1308277970853 |
Real period |
R |
0.37114526576538 |
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 |
506e1 16192o1 36432bv1 101200bv1 |
Quadratic twists by: -4 8 -3 5 |