Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968j |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3012558848 = -1 · 220 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 1 -4 -1 4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,360,404] |
[a1,a2,a3,a4,a6] |
j |
7433231/4352 |
j-invariant |
L |
1.7258195680559 |
L(r)(E,1)/r! |
Ω |
0.8629097841569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5746b1 45968i1 |
Quadratic twists by: -4 13 |