Atkin-Lehner |
2+ 3+ 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814b |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5336867858807394 = 2 · 33 · 73 · 13 · 536 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-133383,-18384205] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:511:1] [2165:98100:1] |
Generators of the group modulo torsion |
j |
9719931918574970091/197661772548422 |
j-invariant |
L |
7.1033685283419 |
L(r)(E,1)/r! |
Ω |
0.25012732547143 |
Real period |
R |
9.4663368148621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814x2 |
Quadratic twists by: -3 |