Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7392h |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-324538368 = -1 · 212 · 3 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111,-705] |
[a1,a2,a3,a4,a6] |
j |
36594368/79233 |
j-invariant |
L |
1.781989653796 |
L(r)(E,1)/r! |
Ω |
0.89099482689802 |
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 |
7392b4 14784by1 22176t2 51744u2 |
Quadratic twists by: -4 8 -3 -7 |