Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120ba |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-15345900262000 = -1 · 24 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5374,-113749] |
[a1,a2,a3,a4,a6] |
Generators |
[11713:1267629:1] |
Generators of the group modulo torsion |
j |
186050816/166375 |
j-invariant |
L |
8.9572796453821 |
L(r)(E,1)/r! |
Ω |
0.38413126582364 |
Real period |
R |
7.7727593336901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780b2 43120cw2 |
Quadratic twists by: -4 -7 |