Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392c |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
146660709888 = 29 · 312 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5992,175592] |
[a1,a2,a3,a4,a6] |
j |
46477380430664/286446699 |
j-invariant |
L |
3.1081816991094 |
L(r)(E,1)/r! |
Ω |
1.0360605663698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7392l2 14784j3 22176p3 51744l3 |
Quadratic twists by: -4 8 -3 -7 |