Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280o |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
28140002000 = 24 · 53 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1292,-15949] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:40:1] |
Generators of the group modulo torsion |
j |
14907034976256/1758750125 |
j-invariant |
L |
5.3278543250433 |
L(r)(E,1)/r! |
Ω |
0.80244937209179 |
Real period |
R |
2.2131632267985 |
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 |
6820b1 109120y1 |
Quadratic twists by: -4 8 |