Atkin-Lehner |
2- 5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22330c |
Isogeny class |
Conductor |
22330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-454894612480 = -1 · 212 · 5 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82,-32431] |
[a1,a2,a3,a4,a6] |
j |
-60282398961/454894612480 |
j-invariant |
L |
2.5589269116227 |
L(r)(E,1)/r! |
Ω |
0.42648781860378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111650b1 |
Quadratic twists by: 5 |