Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608o |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
-385751808 = -1 · 28 · 37 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -5 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,2212] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:54:1] [8:-18:1] |
Generators of the group modulo torsion |
j |
-16000000/2067 |
j-invariant |
L |
9.4167835009035 |
L(r)(E,1)/r! |
Ω |
1.639253233822 |
Real period |
R |
0.71806961446002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216l1 16536e1 |
Quadratic twists by: -4 -3 |