Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555g |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
352818174345 = 3 · 5 · 77 · 134 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27612,-1777341] |
[a1,a2,a3,a4,a6] |
Generators |
[11390:421199:8] |
Generators of the group modulo torsion |
j |
19790357598649/2998905 |
j-invariant |
L |
4.5538869437046 |
L(r)(E,1)/r! |
Ω |
0.37036248511696 |
Real period |
R |
6.1478782634619 |
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 |
28665y4 47775cr4 1365e4 124215h4 |
Quadratic twists by: -3 5 -7 13 |