Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840x |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-7425456060369600 = -1 · 26 · 320 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16833,-4230268] |
[a1,a2,a3,a4,a6] |
j |
-11305786504384/159153293475 |
j-invariant |
L |
2.1454808896366 |
L(r)(E,1)/r! |
Ω |
0.17879007413638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15840c1 31680bi2 5280b1 79200bk1 |
Quadratic twists by: -4 8 -3 5 |