Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7392l |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
4 |
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 |
2.1713097495688 |
L(r)(E,1)/r! |
Ω |
0.5428274373922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7392c3 14784be3 22176f3 51744cr3 |
Quadratic twists by: -4 8 -3 -7 |