Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555g |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6885334194375 = 3 · 54 · 710 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11442,449121] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:739:1] |
Generators of the group modulo torsion |
j |
1408317602329/58524375 |
j-invariant |
L |
4.5538869437046 |
L(r)(E,1)/r! |
Ω |
0.74072497023392 |
Real period |
R |
1.5369695658655 |
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 |
28665y3 47775cr3 1365e3 124215h3 |
Quadratic twists by: -3 5 -7 13 |