Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080h |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-243712000 = -1 · 214 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -6 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,139,365] |
[a1,a2,a3,a4,a6] |
j |
17997824/14875 |
j-invariant |
L |
1.1358484973431 |
L(r)(E,1)/r! |
Ω |
1.1358484973669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38080ba1 2380a1 |
Quadratic twists by: -4 8 |