Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8134f |
Isogeny class |
Conductor |
8134 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-46890891334 = -1 · 2 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 0 3 7- 0 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1651,28249] |
[a1,a2,a3,a4,a6] |
Generators |
[244:9339:64] |
Generators of the group modulo torsion |
j |
-1760913/166 |
j-invariant |
L |
7.1371282202421 |
L(r)(E,1)/r! |
Ω |
1.106942601677 |
Real period |
R |
6.447604608793 |
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 |
65072w1 73206w1 8134c1 |
Quadratic twists by: -4 -3 -7 |