Atkin-Lehner |
2- 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bh |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2899527840000000000 = 214 · 34 · 510 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3300616,2305471220] |
[a1,a2,a3,a4,a6] |
Generators |
[1076:966:1] |
Generators of the group modulo torsion |
j |
970842763014711063049/707892539062500 |
j-invariant |
L |
8.9327349327963 |
L(r)(E,1)/r! |
Ω |
0.25191725428195 |
Real period |
R |
4.43237550732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989691 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14190b2 |
Quadratic twists by: -4 |