Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280ga |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-14741286074449920 = -1 · 229 · 311 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 2 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56148,2810576] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:1296:1] |
Generators of the group modulo torsion |
j |
102437538839/77137920 |
j-invariant |
L |
4.8340664977896 |
L(r)(E,1)/r! |
Ω |
0.25235134685297 |
Real period |
R |
2.3945119346169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280cj1 22320bs1 29760bv1 |
Quadratic twists by: -4 8 -3 |