Atkin-Lehner |
2- 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090o |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
158621068526625000 = 23 · 36 · 56 · 196 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1132986,463688316] |
[a1,a2,a3,a4,a6] |
Generators |
[630:-84:1] |
Generators of the group modulo torsion |
j |
160841222880596489520289/158621068526625000 |
j-invariant |
L |
7.8929558368986 |
L(r)(E,1)/r! |
Ω |
0.322084526537 |
Real period |
R |
4.084308717426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
63270u2 105450i2 |
Quadratic twists by: -3 5 |