Atkin-Lehner |
2+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
8134b |
Isogeny class |
Conductor |
8134 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-6698698762 = -1 · 2 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 1 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1055,13668] |
[a1,a2,a3,a4,a6] |
Generators |
[18:15:1] |
Generators of the group modulo torsion |
j |
-1102302937/56938 |
j-invariant |
L |
2.6313985635007 |
L(r)(E,1)/r! |
Ω |
1.3171812388735 |
Real period |
R |
0.99887490264858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072u1 73206bj1 1162a1 |
Quadratic twists by: -4 -3 -7 |