Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080bt |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-34938552320 = -1 · 223 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 2 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,788,2896] |
[a1,a2,a3,a4,a6] |
Generators |
[90:896:1] |
Generators of the group modulo torsion |
j |
206425071/133280 |
j-invariant |
L |
4.307628547359 |
L(r)(E,1)/r! |
Ω |
0.72476034100619 |
Real period |
R |
0.74294016650024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38080t1 9520j1 |
Quadratic twists by: -4 8 |