Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576br |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53511589765251072 = 216 · 35 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16259784,25241403888] |
[a1,a2,a3,a4,a6] |
Generators |
[22778:-3387098:1] |
Generators of the group modulo torsion |
j |
986551739719628473/111045168 |
j-invariant |
L |
3.6848081807665 |
L(r)(E,1)/r! |
Ω |
0.27410662523549 |
Real period |
R |
6.7214868987585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822m3 122304ij4 91728ei4 624i3 |
Quadratic twists by: -4 8 -3 -7 |