Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bq |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.3640417615223E+27 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-218270992,-2648115120704] |
[a1,a2,a3,a4,a6] |
Generators |
[604354888:176500506624:6859] |
Generators of the group modulo torsion |
j |
-58169016237585194137/119573538788081664 |
j-invariant |
L |
3.6126752394735 |
L(r)(E,1)/r! |
Ω |
0.018434170650896 |
Real period |
R |
6.1242842723521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154be2 6864o2 |
Quadratic twists by: -4 13 |