Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200r |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11236000000 = -1 · 28 · 56 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,5612] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1950:1] |
Generators of the group modulo torsion |
j |
-810448/2809 |
j-invariant |
L |
7.829777896861 |
L(r)(E,1)/r! |
Ω |
1.1181971564837 |
Real period |
R |
3.5010721729442 |
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 |
5300e2 84800bs2 848d1 |
Quadratic twists by: -4 8 5 |