Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744bb |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
7902720 |
Modular degree for the optimal curve |
Δ |
-3.9779016646619E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36438033,315025068735] |
[a1,a2,a3,a4,a6] |
Generators |
[3642:480249:1] |
Generators of the group modulo torsion |
j |
-226591821421000000/1684650343696353 |
j-invariant |
L |
7.9639052405864 |
L(r)(E,1)/r! |
Ω |
0.055477284705691 |
Real period |
R |
0.22786117771529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51744a1 103488eq1 51744p1 |
Quadratic twists by: -4 8 -7 |