Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28322bk |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-183834758727470816 = -1 · 25 · 77 · 178 |
Discriminant |
Eigenvalues |
2- 3 1 7- 0 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-165507,33165283] |
[a1,a2,a3,a4,a6] |
j |
-610929/224 |
j-invariant |
L |
9.0295057547213 |
L(r)(E,1)/r! |
Ω |
0.30098352515742 |
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 |
4046t1 28322be1 |
Quadratic twists by: -7 17 |