Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320d |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
204480848102400 = 210 · 32 · 52 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15696,320796] |
[a1,a2,a3,a4,a6] |
j |
470596/225 |
j-invariant |
L |
4.0183571948944 |
L(r)(E,1)/r! |
Ω |
0.50229445585455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120b2 |
Quadratic twists by: -31 |