Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7392g |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
472260096 = 29 · 32 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-712,-7480] |
[a1,a2,a3,a4,a6] |
j |
78073482824/922383 |
j-invariant |
L |
3.6991241774495 |
L(r)(E,1)/r! |
Ω |
0.92478104436238 |
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 |
7392i3 14784o3 22176u3 51744x3 |
Quadratic twists by: -4 8 -3 -7 |