Atkin-Lehner |
2+ 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37920c |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
32353344000 = 29 · 34 · 53 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1096,-10604] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:54:1] [-12:26:1] |
Generators of the group modulo torsion |
j |
284630612552/63190125 |
j-invariant |
L |
6.8773569806776 |
L(r)(E,1)/r! |
Ω |
0.84283684157813 |
Real period |
R |
4.0798863086009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37920e2 75840cr2 113760bo2 |
Quadratic twists by: -4 8 -3 |