Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640bg |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-348165744640000 = -1 · 214 · 54 · 76 · 172 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9784,820084] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:650:1] |
Generators of the group modulo torsion |
j |
214921799/722500 |
j-invariant |
L |
4.0908581406729 |
L(r)(E,1)/r! |
Ω |
0.38183190948531 |
Real period |
R |
2.6784417694001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330d2 1360j2 |
Quadratic twists by: -4 -7 |