Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880ba |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-97423266820096000 = -1 · 215 · 53 · 73 · 375 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 -1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136641,24520159] |
[a1,a2,a3,a4,a6] |
Generators |
[555:10952:1] |
Generators of the group modulo torsion |
j |
-8610335038005128/2973122156375 |
j-invariant |
L |
3.5770152223031 |
L(r)(E,1)/r! |
Ω |
0.31793927329387 |
Real period |
R |
0.56253120115604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880bk1 41440g1 |
Quadratic twists by: -4 8 |