Atkin-Lehner |
2- 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bn |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.4887931609957E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,189976,-237944919] |
[a1,a2,a3,a4,a6] |
Generators |
[5882016711050:179926195918689:5812581592] |
Generators of the group modulo torsion |
j |
1040146578175980743/34139823881971038 |
j-invariant |
L |
11.44690380517 |
L(r)(E,1)/r! |
Ω |
0.10236320317433 |
Real period |
R |
13.97829426265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094h4 |
Quadratic twists by: -3 |