Atkin-Lehner |
2- 11- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121264n |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
713165633639888 = 24 · 116 · 132 · 533 |
Discriminant |
Eigenvalues |
2- 2 0 4 11- 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55393,4869228] |
[a1,a2,a3,a4,a6] |
j |
1174833249544192000/44572852102493 |
j-invariant |
L |
6.047008458371 |
L(r)(E,1)/r! |
Ω |
0.50391734120568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30316b3 |
Quadratic twists by: -4 |