Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918bi |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-8963739022 = -1 · 2 · 7 · 173 · 194 |
Discriminant |
Eigenvalues |
2- -2 0 7- -3 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25458,-1565582] |
[a1,a2,a3,a4,a6] |
Generators |
[351906:13958357:216] |
Generators of the group modulo torsion |
j |
-14001779076625/68782 |
j-invariant |
L |
6.2558116849974 |
L(r)(E,1)/r! |
Ω |
0.18897888036779 |
Real period |
R |
11.034410603858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918j2 |
Quadratic twists by: -19 |