Atkin-Lehner |
2+ 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270u |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.1563475895591E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10196874,-12519584532] |
[a1,a2,a3,a4,a6] |
Generators |
[-1823:3809:1] |
Generators of the group modulo torsion |
j |
160841222880596489520289/158621068526625000 |
j-invariant |
L |
4.1828826794204 |
L(r)(E,1)/r! |
Ω |
0.08449062126224 |
Real period |
R |
2.7503925005559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090o2 |
Quadratic twists by: -3 |