Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918bg |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
-30784542236620928 = -1 · 27 · 72 · 172 · 198 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43869,-9170765] |
[a1,a2,a3,a4,a6] |
Generators |
[1955:84940:1] |
Generators of the group modulo torsion |
j |
-549754417/1812608 |
j-invariant |
L |
4.4107071506211 |
L(r)(E,1)/r! |
Ω |
0.15183955220569 |
Real period |
R |
0.34581515567839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918h1 |
Quadratic twists by: -19 |