Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16280g |
Isogeny class |
Conductor |
16280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2097528224000 = 28 · 53 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3316,24516] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:306:1] |
Generators of the group modulo torsion |
j |
15756446357584/8193469625 |
j-invariant |
L |
6.2394076780882 |
L(r)(E,1)/r! |
Ω |
0.72633597027076 |
Real period |
R |
4.2951250753575 |
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 |
32560e1 81400a1 |
Quadratic twists by: -4 5 |