Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bd |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
11287019520 = 214 · 39 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11388,467728] |
[a1,a2,a3,a4,a6] |
j |
13674725584/945 |
j-invariant |
L |
2.4254733194663 |
L(r)(E,1)/r! |
Ω |
1.2127366597332 |
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 |
20160eh1 2520r1 6720bb1 100800fl1 |
Quadratic twists by: -4 8 -3 5 |