Atkin-Lehner |
3+ 7+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36519d |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.9342385749757E+24 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42180106,-65786800145] |
[a1,a2,a3,a4,a6] |
Generators |
[-140406:3144755:27] |
Generators of the group modulo torsion |
j |
8299400614556734155552457897/2934238574975712977134449 |
j-invariant |
L |
1.8789092414502 |
L(r)(E,1)/r! |
Ω |
0.060967947630768 |
Real period |
R |
5.1363306853972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109557m2 |
Quadratic twists by: -3 |