Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bw |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7718370496906608 = 24 · 38 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8744128,-9955929103] |
[a1,a2,a3,a4,a6] |
j |
121681065322255375/12702096 |
j-invariant |
L |
2.8094441878806 |
L(r)(E,1)/r! |
Ω |
0.087795130871333 |
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 |
106722cr2 35574cz2 3234g2 |
Quadratic twists by: -3 -7 -11 |