Atkin-Lehner |
3- 17- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66861k |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
11626392728069253 = 37 · 173 · 196 · 23 |
Discriminant |
Eigenvalues |
0 3- 0 -1 -6 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-85890,8182692] |
[a1,a2,a3,a4,a6] |
Generators |
[224:427:1] [-298:2704:1] |
Generators of the group modulo torsion |
j |
96122264154112000/15948412521357 |
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 |
3 |
Number of elements in the torsion subgroup |
Twists |
22287c2 |
Quadratic twists by: -3 |