Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968c |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3550060097792 = 28 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16055,-777738] |
[a1,a2,a3,a4,a6] |
j |
370386000/2873 |
j-invariant |
L |
0.84865289340196 |
L(r)(E,1)/r! |
Ω |
0.42432644656194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22984c2 3536b2 |
Quadratic twists by: -4 13 |