Atkin-Lehner |
3- 17- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66861k |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
1469707545357 = 39 · 17 · 192 · 233 |
Discriminant |
Eigenvalues |
0 3- 0 -1 -6 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23790,-1411137] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:13:1] [-87:9:1] |
Generators of the group modulo torsion |
j |
2042582044672000/2016059733 |
j-invariant |
L |
8.4310119453241 |
L(r)(E,1)/r! |
Ω |
0.38443832784268 |
Real period |
R |
2.7413408519372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22287c1 |
Quadratic twists by: -3 |