Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112bl |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-1313256135402432 = -1 · 26 · 310 · 134 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27375,27376] |
[a1,a2,a3,a4,a6] |
Generators |
[12:598:1] |
Generators of the group modulo torsion |
j |
48627125000000/28147636647 |
j-invariant |
L |
7.8424449108858 |
L(r)(E,1)/r! |
Ω |
0.28887493227717 |
Real period |
R |
1.1311765105723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bd1 28704i1 |
Quadratic twists by: -4 -3 |