Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090r |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1843203600 = 24 · 37 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1125,14661] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:159:1] [-27:171:1] |
Generators of the group modulo torsion |
j |
216108018001/2528400 |
j-invariant |
L |
5.8020149750437 |
L(r)(E,1)/r! |
Ω |
1.4897329848061 |
Real period |
R |
0.48683346564612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030bd1 |
Quadratic twists by: -3 |