Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960p |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2706427651311360000 = 211 · 33 · 54 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-508016,-114880716] |
[a1,a2,a3,a4,a6] |
Generators |
[1855:73002:1] |
Generators of the group modulo torsion |
j |
47825527682/8926875 |
j-invariant |
L |
9.9288105043544 |
L(r)(E,1)/r! |
Ω |
0.18113351019706 |
Real period |
R |
2.2839530995147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999894631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480j2 5520j2 |
Quadratic twists by: -4 -23 |