Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745z |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
864657984432515625 = 310 · 56 · 116 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-264811,-27400240] |
[a1,a2,a3,a4,a6] |
Generators |
[-331:5066:1] |
Generators of the group modulo torsion |
j |
1159246431432649/488076890625 |
j-invariant |
L |
2.7954254346365 |
L(r)(E,1)/r! |
Ω |
0.21851562240123 |
Real period |
R |
1.2792794418617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
125235br2 345c2 |
Quadratic twists by: -3 -11 |