Atkin-Lehner |
2- 3- 5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
81090bf |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-227252324736000 = -1 · 210 · 37 · 53 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15232,45731] |
[a1,a2,a3,a4,a6] |
Generators |
[21:601:1] |
Generators of the group modulo torsion |
j |
536159131054919/311731584000 |
j-invariant |
L |
8.9060430235826 |
L(r)(E,1)/r! |
Ω |
0.33668513088692 |
Real period |
R |
0.66130355971463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27030i1 |
Quadratic twists by: -3 |