Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966do |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-10214793659355264 = -1 · 27 · 34 · 74 · 177 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-127744,18223232] |
[a1,a2,a3,a4,a6] |
Generators |
[194:-964:1] |
Generators of the group modulo torsion |
j |
-3977954113/176256 |
j-invariant |
L |
15.916374623059 |
L(r)(E,1)/r! |
Ω |
0.40313841091455 |
Real period |
R |
0.35251041292224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966di1 4998bb1 |
Quadratic twists by: -7 17 |