Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cq |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-2.5413744874078E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-901224,408685500] |
[a1,a2,a3,a4,a6] |
Generators |
[639:9702:1] |
Generators of the group modulo torsion |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
6.6757998112344 |
L(r)(E,1)/r! |
Ω |
0.20056916618638 |
Real period |
R |
1.6642138814768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744k2 103488t3 1056g4 |
Quadratic twists by: -4 8 -7 |