Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328c |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.5810192394924E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1750312,-653962208] |
[a1,a2,a3,a4,a6] |
j |
579122468065337627812/154396410106681587 |
j-invariant |
L |
3.6144064449068 |
L(r)(E,1)/r! |
Ω |
0.13386690536693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14664b3 117312co4 87984j4 |
Quadratic twists by: -4 8 -3 |