Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13680bf |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
930574448640000 = 214 · 314 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64443,6123242] |
[a1,a2,a3,a4,a6] |
j |
9912050027641/311647500 |
j-invariant |
L |
1.9769238500242 |
L(r)(E,1)/r! |
Ω |
0.49423096250604 |
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 |
1710n3 54720en3 4560t3 68400ft3 |
Quadratic twists by: -4 8 -3 5 |