Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645n |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
213463057640625 = 310 · 56 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15917,325316] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:1039:1] |
Generators of the group modulo torsion |
j |
611722215487369/292816265625 |
j-invariant |
L |
2.1970593860205 |
L(r)(E,1)/r! |
Ω |
0.50042154195288 |
Real period |
R |
0.73173621364852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7215g2 108225bb2 |
Quadratic twists by: -3 5 |