Atkin-Lehner |
2- 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448x |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9551976192 = 28 · 38 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20271,-1110854] |
[a1,a2,a3,a4,a6] |
Generators |
[1743742:42742125:2744] |
Generators of the group modulo torsion |
j |
4936074881488/51183 |
j-invariant |
L |
4.3034070732284 |
L(r)(E,1)/r! |
Ω |
0.40011149762304 |
Real period |
R |
10.755519645458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18612m2 24816y2 |
Quadratic twists by: -4 -3 |