Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120da |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
12732907622400 = 212 · 36 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-297360,62313300] |
[a1,a2,a3,a4,a6] |
Generators |
[255:1770:1] |
Generators of the group modulo torsion |
j |
709925651909767441/3108620025 |
j-invariant |
L |
9.0808908306134 |
L(r)(E,1)/r! |
Ω |
0.62625405285793 |
Real period |
R |
1.208360886965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970168 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6195e2 |
Quadratic twists by: -4 |