Atkin-Lehner |
3- 17+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66861i |
Isogeny class |
Conductor |
66861 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94976 |
Modular degree for the optimal curve |
Δ |
225040285773 = 313 · 17 · 192 · 23 |
Discriminant |
Eigenvalues |
0 3- 4 1 2 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6168,-185049] |
[a1,a2,a3,a4,a6] |
Generators |
[515:11542:1] |
Generators of the group modulo torsion |
j |
35598301659136/308697237 |
j-invariant |
L |
7.9127112680036 |
L(r)(E,1)/r! |
Ω |
0.5390023739725 |
Real period |
R |
1.8350362748877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22287d1 |
Quadratic twists by: -3 |