Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968t |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-735488 = -1 · 28 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4,40] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] |
Generators of the group modulo torsion |
j |
-208/17 |
j-invariant |
L |
4.3277233174123 |
L(r)(E,1)/r! |
Ω |
2.3468477585541 |
Real period |
R |
1.8440579716529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11492b1 45968s1 |
Quadratic twists by: -4 13 |