Atkin-Lehner |
2+ 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760f |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-42825675556224000 = -1 · 210 · 312 · 53 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,85264,-2673936] |
[a1,a2,a3,a4,a6] |
j |
66944633863514684/41821948785375 |
j-invariant |
L |
2.4959683772534 |
L(r)(E,1)/r! |
Ω |
0.20799736487481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520f3 |
Quadratic twists by: -4 |