Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
1314f |
Isogeny class |
Conductor |
1314 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
6021726819581952 = 218 · 310 · 733 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 6 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86765,9122645] |
[a1,a2,a3,a4,a6] |
j |
99088945018143625/8260256268288 |
j-invariant |
L |
2.4906391143314 |
L(r)(E,1)/r! |
Ω |
0.41510651905524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10512t3 42048v3 438d3 32850r3 |
Quadratic twists by: -4 8 -3 5 |