Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918bn |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
348480 |
Modular degree for the optimal curve |
Δ |
-217847269255168 = -1 · 211 · 7 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35446,2673797] |
[a1,a2,a3,a4,a6] |
Generators |
[119:301:1] |
Generators of the group modulo torsion |
j |
-104686895097/4630528 |
j-invariant |
L |
9.6011626171698 |
L(r)(E,1)/r! |
Ω |
0.55554879177105 |
Real period |
R |
0.39277961625732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522d1 |
Quadratic twists by: -19 |