Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600s |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1282882560000000 = -1 · 216 · 3 · 57 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22367,-1152863] |
[a1,a2,a3,a4,a6] |
Generators |
[81:1088:1] [147:2300:1] |
Generators of the group modulo torsion |
j |
1208446844/1252815 |
j-invariant |
L |
9.5448664342563 |
L(r)(E,1)/r! |
Ω |
0.26237336005176 |
Real period |
R |
4.5473683152481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ik3 10200bi4 16320bf4 |
Quadratic twists by: -4 8 5 |