Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392i |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121701888 = 29 · 32 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1072,-13148] |
[a1,a2,a3,a4,a6] |
j |
266344154504/237699 |
j-invariant |
L |
1.6686696504615 |
L(r)(E,1)/r! |
Ω |
0.83433482523073 |
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 |
7392g3 14784ba3 22176d4 51744cj4 |
Quadratic twists by: -4 8 -3 -7 |