Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28322bi |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-26962988881976 = -1 · 23 · 79 · 174 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99422,-12110253] |
[a1,a2,a3,a4,a6] |
j |
-11060825617/2744 |
j-invariant |
L |
0.80657303614281 |
L(r)(E,1)/r! |
Ω |
0.13442883935704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046r1 28322v1 |
Quadratic twists by: -7 17 |