Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600dg |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
228427776000000 = 217 · 38 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75233,-7934337] |
[a1,a2,a3,a4,a6] |
j |
22994537186/111537 |
j-invariant |
L |
4.6136403927052 |
L(r)(E,1)/r! |
Ω |
0.28835252814518 |
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 |
81600fx4 10200c3 3264i3 |
Quadratic twists by: -4 8 5 |