Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640r |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-80921335180000000 = -1 · 28 · 57 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 2 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229385,-44369275] |
[a1,a2,a3,a4,a6] |
j |
-44319254354944/2686796875 |
j-invariant |
L |
4.565150224165 |
L(r)(E,1)/r! |
Ω |
0.10869405276858 |
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 |
33320g1 9520b1 |
Quadratic twists by: -4 -7 |