Atkin-Lehner |
2- 3+ 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814y |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-141536967376896 = -1 · 214 · 39 · 72 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3026,576721] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-737:1] |
Generators of the group modulo torsion |
j |
-155634054939/7190822912 |
j-invariant |
L |
8.6064811215509 |
L(r)(E,1)/r! |
Ω |
0.48232223436173 |
Real period |
R |
0.63728002568215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814a1 |
Quadratic twists by: -3 |