Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112j |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-1632166848 = -1 · 26 · 38 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 2 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,159,1784] |
[a1,a2,a3,a4,a6] |
Generators |
[5:52:1] |
Generators of the group modulo torsion |
j |
9528128/34983 |
j-invariant |
L |
6.0835346463216 |
L(r)(E,1)/r! |
Ω |
1.0654683142509 |
Real period |
R |
1.4274320884432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112g1 28704n1 |
Quadratic twists by: -4 -3 |