Atkin-Lehner |
2+ 3+ 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
27390b |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
636324480000 = 210 · 32 · 54 · 113 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1438418,663412788] |
[a1,a2,a3,a4,a6] |
Generators |
[18588:-4894:27] |
Generators of the group modulo torsion |
j |
329139125647565605276969/636324480000 |
j-invariant |
L |
2.6905305965543 |
L(r)(E,1)/r! |
Ω |
0.59177714487493 |
Real period |
R |
0.75775445195193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82170bx1 |
Quadratic twists by: -3 |