Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cq |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1771127576064 = 29 · 35 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15367984,23183421176] |
[a1,a2,a3,a4,a6] |
Generators |
[2267:330:1] |
Generators of the group modulo torsion |
j |
6663712298552914184/29403 |
j-invariant |
L |
6.6757998112344 |
L(r)(E,1)/r! |
Ω |
0.40113833237275 |
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 |
51744k4 103488t4 1056g2 |
Quadratic twists by: -4 8 -7 |