Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600b |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
652800000000 = 215 · 3 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1360033,-610028063] |
[a1,a2,a3,a4,a6] |
Generators |
[-1023498160:-1586739:1520875] |
Generators of the group modulo torsion |
j |
543378448339208/1275 |
j-invariant |
L |
6.5944089076721 |
L(r)(E,1)/r! |
Ω |
0.13980160795552 |
Real period |
R |
11.792441095497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600cp4 40800t4 16320ba3 |
Quadratic twists by: -4 8 5 |