Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162x |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
56515756965192 = 23 · 36 · 78 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16179,708749] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:1014:1] |
Generators of the group modulo torsion |
j |
5461074081/658952 |
j-invariant |
L |
2.7920596571416 |
L(r)(E,1)/r! |
Ω |
0.60603949688325 |
Real period |
R |
1.1517647247009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018q2 5166t2 |
Quadratic twists by: -3 -7 |