Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880bs |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1819381760000 = 215 · 54 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,26416] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:56:1] |
Generators of the group modulo torsion |
j |
111840831432/55523125 |
j-invariant |
L |
6.8791529379025 |
L(r)(E,1)/r! |
Ω |
0.74058766462321 |
Real period |
R |
2.3221940046317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987406 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82880bo4 41440b3 |
Quadratic twists by: -4 8 |