Atkin-Lehner |
2- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880bn |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-981299200 = -1 · 212 · 52 · 7 · 372 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,135,-1337] |
[a1,a2,a3,a4,a6] |
Generators |
[11:40:1] |
Generators of the group modulo torsion |
j |
65939264/239575 |
j-invariant |
L |
3.7555791322167 |
L(r)(E,1)/r! |
Ω |
0.79551340340407 |
Real period |
R |
1.1802375416448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880br1 41440e1 |
Quadratic twists by: -4 8 |