Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720bm |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1273417666560 = -1 · 212 · 314 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2148,38464] |
[a1,a2,a3,a4,a6] |
j |
367061696/426465 |
j-invariant |
L |
2.2965224334598 |
L(r)(E,1)/r! |
Ω |
0.57413060836495 |
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 |
18720bn4 37440ep1 6240k4 93600bx2 |
Quadratic twists by: -4 8 -3 5 |