Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640bh |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-862801408000 = -1 · 212 · 53 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,112,-44688] |
[a1,a2,a3,a4,a6] |
j |
110592/614125 |
j-invariant |
L |
2.4684390283664 |
L(r)(E,1)/r! |
Ω |
0.41140650301545 |
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 |
4165g1 66640bx1 |
Quadratic twists by: -4 -7 |