Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090by |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27979776 |
Modular degree for the optimal curve |
Δ |
2.4514693313247E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-226105191,-1308498457251] |
[a1,a2,a3,a4,a6] |
j |
709748997075124343/136105583040 |
j-invariant |
L |
4.2048519893 |
L(r)(E,1)/r! |
Ω |
0.038933811237371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090ci1 |
Quadratic twists by: -23 |