Atkin-Lehner |
3- 17+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66861j |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18688 |
Modular degree for the optimal curve |
Δ |
-373686129 = -1 · 37 · 17 · 19 · 232 |
Discriminant |
Eigenvalues |
1 3- 3 -1 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108,1053] |
[a1,a2,a3,a4,a6] |
Generators |
[36:189:1] |
Generators of the group modulo torsion |
j |
-192100033/512601 |
j-invariant |
L |
9.1951494348298 |
L(r)(E,1)/r! |
Ω |
1.4962117492747 |
Real period |
R |
0.76820254879941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22287e1 |
Quadratic twists by: -3 |