Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660h |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-384300806400 = -1 · 28 · 36 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1737,10638] |
[a1,a2,a3,a4,a6] |
Generators |
[3:126:1] |
Generators of the group modulo torsion |
j |
3105672624/2059225 |
j-invariant |
L |
6.0244725463834 |
L(r)(E,1)/r! |
Ω |
0.59651573162385 |
Real period |
R |
0.8416196794899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5740d2 |
Quadratic twists by: -3 |