Atkin-Lehner |
3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67335j |
Isogeny class |
Conductor |
67335 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
22962240 |
Modular degree for the optimal curve |
Δ |
-2.5101853899482E+25 |
Discriminant |
Eigenvalues |
2 3- 5- 2 0 -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-151083280,754282037809] |
[a1,a2,a3,a4,a6] |
Generators |
[-14966:8120597:8] |
Generators of the group modulo torsion |
j |
-14018440572928/922640625 |
j-invariant |
L |
18.200894239234 |
L(r)(E,1)/r! |
Ω |
0.06606163841443 |
Real period |
R |
2.295948485371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67335c1 |
Quadratic twists by: -67 |