Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680i |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
128933538739200 = 210 · 318 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64587,6294134] |
[a1,a2,a3,a4,a6] |
j |
39914580075556/172718325 |
j-invariant |
L |
2.3546731971815 |
L(r)(E,1)/r! |
Ω |
0.58866829929538 |
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 |
9360s3 37440bc3 1560i3 23400bf3 |
Quadratic twists by: -4 8 -3 5 |