Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680bf |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
70044555755520 = 214 · 38 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139323,-20012182] |
[a1,a2,a3,a4,a6] |
j |
100162392144121/23457780 |
j-invariant |
L |
1.9769238500242 |
L(r)(E,1)/r! |
Ω |
0.24711548125302 |
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 |
1710n4 54720en4 4560t4 68400ft4 |
Quadratic twists by: -4 8 -3 5 |