Atkin-Lehner |
3- 11- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
86229h |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1180388781 = 36 · 11 · 133 · 67 |
Discriminant |
Eigenvalues |
0 3- -1 -2 11- 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4068,-99853] |
[a1,a2,a3,a4,a6] |
Generators |
[81:319:1] |
Generators of the group modulo torsion |
j |
10212663361536/1619189 |
j-invariant |
L |
4.3885585894389 |
L(r)(E,1)/r! |
Ω |
0.59780349586589 |
Real period |
R |
3.6705695266929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9581a1 |
Quadratic twists by: -3 |