Atkin-Lehner |
2- 3- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27390y |
Isogeny class |
Conductor |
27390 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
272942188818750 = 2 · 33 · 55 · 117 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 7 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17261,359235] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:6777:8] |
Generators of the group modulo torsion |
j |
568752269081079889/272942188818750 |
j-invariant |
L |
9.3898829470358 |
L(r)(E,1)/r! |
Ω |
0.49011069216866 |
Real period |
R |
6.3862328089512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82170bc1 |
Quadratic twists by: -3 |