Atkin-Lehner |
3+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45825i |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2755528966125 = -1 · 310 · 53 · 132 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 0 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3317,-29794] |
[a1,a2,a3,a4,a6] |
j |
32288058434107/22044231729 |
j-invariant |
L |
1.8291033970934 |
L(r)(E,1)/r! |
Ω |
0.45727584918833 |
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 |
45825n2 |
Quadratic twists by: 5 |