Atkin-Lehner |
2+ 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
15936h |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-1290816 = -1 · 26 · 35 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 3 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36432,2688714] |
[a1,a2,a3,a4,a6] |
j |
-83561205858628672/20169 |
j-invariant |
L |
1.59783068631 |
L(r)(E,1)/r! |
Ω |
1.59783068631 |
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 |
15936k1 7968h1 47808p1 |
Quadratic twists by: -4 8 -3 |