Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
85918bh |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
4826304 |
Modular degree for the optimal curve |
Δ |
-2.076833870608E+20 |
Discriminant |
Eigenvalues |
2- -2 0 7- 3 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3891768,3035003968] |
[a1,a2,a3,a4,a6] |
Generators |
[1136:8392:1] |
Generators of the group modulo torsion |
j |
-383827192854625/12228493312 |
j-invariant |
L |
7.7002137301116 |
L(r)(E,1)/r! |
Ω |
0.17719776278265 |
Real period |
R |
2.0693085429206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999413 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85918i1 |
Quadratic twists by: -19 |