Atkin-Lehner |
2- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8372d |
Isogeny class |
Conductor |
8372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-335312397056 = -1 · 28 · 72 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15477,-746809] |
[a1,a2,a3,a4,a6] |
j |
-1601666731737088/1309814051 |
j-invariant |
L |
1.284030905424 |
L(r)(E,1)/r! |
Ω |
0.214005150904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33488v2 75348q2 58604c2 108836a2 |
Quadratic twists by: -4 -3 -7 13 |