Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600h |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
109202500000000 = 28 · 510 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12175,120750] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:792:1] [-66:798:1] |
Generators of the group modulo torsion |
j |
49896562896/27300625 |
j-invariant |
L |
10.594751844855 |
L(r)(E,1)/r! |
Ω |
0.51686817793814 |
Real period |
R |
10.248988327163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41800t2 16720m2 |
Quadratic twists by: -4 5 |