Atkin-Lehner |
2+ 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480k |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
81696685204742400 = 28 · 312 · 52 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-209820,-34272000] |
[a1,a2,a3,a4,a6] |
j |
3990492186049586896/319127676581025 |
j-invariant |
L |
3.5872020398522 |
L(r)(E,1)/r! |
Ω |
0.22420013465311 |
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 |
45240k2 |
Quadratic twists by: -4 |