Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175bb |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20514814783203125 = 59 · 72 · 118 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3949201,3020392923] |
[a1,a2,a3,a4,a6] |
Generators |
[813:18227:1] |
Generators of the group modulo torsion |
j |
1968634623437/5929 |
j-invariant |
L |
2.5788021224768 |
L(r)(E,1)/r! |
Ω |
0.33443216000594 |
Real period |
R |
1.9277468130091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21175bl2 1925m2 |
Quadratic twists by: 5 -11 |