Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880bs |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
82880 = 26 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1727,-27624] |
[a1,a2,a3,a4,a6] |
Generators |
[31800:1090648:27] |
Generators of the group modulo torsion |
j |
8900630063424/1295 |
j-invariant |
L |
6.8791529379025 |
L(r)(E,1)/r! |
Ω |
0.74058766462321 |
Real period |
R |
9.2887760185268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999994962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880bo1 41440b4 |
Quadratic twists by: -4 8 |