Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598u |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.1638648250018E+21 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167048,1641521737] |
[a1,a2,a3,a4,a6] |
Generators |
[647:42159:1] |
Generators of the group modulo torsion |
j |
-21357685518625/48217980236608 |
j-invariant |
L |
13.248070958457 |
L(r)(E,1)/r! |
Ω |
0.12398461631183 |
Real period |
R |
2.226094547149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094i2 |
Quadratic twists by: 17 |