Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400bl |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
-189227789442270000 = -1 · 24 · 324 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,103517,16578188] |
[a1,a2,a3,a4,a6] |
Generators |
[728:-21870:1] |
Generators of the group modulo torsion |
j |
12267457122867200/18922778944227 |
j-invariant |
L |
5.3894444892954 |
L(r)(E,1)/r! |
Ω |
0.21705832195427 |
Real period |
R |
0.34485383940746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200bb1 80400i1 |
Quadratic twists by: -4 5 |