Atkin-Lehner |
3+ 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583m |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-27648809139 = -1 · 3 · 77 · 192 · 31 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 0 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,-7995] |
[a1,a2,a3,a4,a6] |
Generators |
[1412:2761:64] |
Generators of the group modulo torsion |
j |
-4096/235011 |
j-invariant |
L |
10.63535890487 |
L(r)(E,1)/r! |
Ω |
0.54078842596806 |
Real period |
R |
2.458299399314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12369f1 |
Quadratic twists by: -7 |