Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344eo |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1063778936679E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-598260,-78178048] |
[a1,a2,a3,a4,a6] |
Generators |
[-53887067:-555032673:389017] |
Generators of the group modulo torsion |
j |
1643032000/767637 |
j-invariant |
L |
8.2776352658167 |
L(r)(E,1)/r! |
Ω |
0.17959986699369 |
Real period |
R |
11.522329316839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344eq2 48672l1 32448bx2 7488bq2 |
Quadratic twists by: -4 8 -3 13 |