Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862h |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
535680 |
Modular degree for the optimal curve |
Δ |
8365981429487902 = 2 · 113 · 617 |
Discriminant |
Eigenvalues |
2- 1 -2 -4 11- -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-135894,-18784282] |
[a1,a2,a3,a4,a6] |
Generators |
[-1474:1441:8] |
Generators of the group modulo torsion |
j |
5386984777/162382 |
j-invariant |
L |
7.4893971934046 |
L(r)(E,1)/r! |
Ω |
0.24911527984095 |
Real period |
R |
5.010663598538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342a1 |
Quadratic twists by: 61 |