Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bt |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.4023121420193E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38447588,-71931925833] |
[a1,a2,a3,a4,a6] |
Generators |
[-4358:115579:1] |
Generators of the group modulo torsion |
j |
83339496416030401/18593645841225 |
j-invariant |
L |
4.6040530427738 |
L(r)(E,1)/r! |
Ω |
0.061595999352093 |
Real period |
R |
3.1144156259776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029663 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17745d3 6825h3 |
Quadratic twists by: 5 13 |