Atkin-Lehner |
2- 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850v |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5548032 |
Modular degree for the optimal curve |
Δ |
-2.07221029865E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3463980,-2490262353] |
[a1,a2,a3,a4,a6] |
Generators |
[2989:116205:1] |
Generators of the group modulo torsion |
j |
-294191212478350773321/1326214591136000 |
j-invariant |
L |
4.7801661051103 |
L(r)(E,1)/r! |
Ω |
0.055316996376637 |
Real period |
R |
5.4008785910902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17170j1 |
Quadratic twists by: 5 |