Atkin-Lehner |
2- 3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bt |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-101670085730304 = -1 · 213 · 39 · 7 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -6 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8888,584763] |
[a1,a2,a3,a4,a6] |
Generators |
[89:657:1] |
Generators of the group modulo torsion |
j |
-106503164422201/139465138176 |
j-invariant |
L |
7.0711560857179 |
L(r)(E,1)/r! |
Ω |
0.53924934806204 |
Real period |
R |
0.084057447231649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386b1 |
Quadratic twists by: -3 |