Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090l |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
23887918656000000 = 212 · 311 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72000,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:2688:1] |
Generators of the group modulo torsion |
j |
56623546369152001/32768064000000 |
j-invariant |
L |
3.342082595509 |
L(r)(E,1)/r! |
Ω |
0.32003707535657 |
Real period |
R |
1.305349775407 |
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 |
9030ba1 |
Quadratic twists by: -3 |