Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598s |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5.9122413668766E+20 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 0 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2135308,270770733] |
[a1,a2,a3,a4,a6] |
Generators |
[1413:8081:1] |
Generators of the group modulo torsion |
j |
3725696412046530654625/2045758258434811648 |
j-invariant |
L |
6.8124245924358 |
L(r)(E,1)/r! |
Ω |
0.1418561230774 |
Real period |
R |
0.50024457620862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598bi2 |
Quadratic twists by: 17 |