Atkin-Lehner |
2- 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530x |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-92841387795763200 = -1 · 212 · 38 · 52 · 113 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,113107,705557] |
[a1,a2,a3,a4,a6] |
Generators |
[303:-8072:1] |
Generators of the group modulo torsion |
j |
219517037998540919/127354441420800 |
j-invariant |
L |
7.4881659158938 |
L(r)(E,1)/r! |
Ω |
0.20350197800503 |
Real period |
R |
0.76659430099989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
15510i2 |
Quadratic twists by: -3 |