Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34080bc |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-173870489088000 = -1 · 212 · 314 · 53 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11981,-814725] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-2916:1] |
Generators of the group modulo torsion |
j |
-46438610512384/42448849875 |
j-invariant |
L |
5.5165998894494 |
L(r)(E,1)/r! |
Ω |
0.21985270878019 |
Real period |
R |
0.89615190877712 |
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 |
34080w1 68160ch1 102240v1 |
Quadratic twists by: -4 8 -3 |