Atkin-Lehner |
2+ 3- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504f |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4639070526532608 = 210 · 3 · 236 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-648808,-201340828] |
[a1,a2,a3,a4,a6] |
Generators |
[1119566375863:-111928111362198:111284641] |
Generators of the group modulo torsion |
j |
29496671633862062500/4530342311067 |
j-invariant |
L |
6.4951806408103 |
L(r)(E,1)/r! |
Ω |
0.1682187697107 |
Real period |
R |
19.30575474438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55752a2 |
Quadratic twists by: -4 |