Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075q |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2388313552640625 = 32 · 56 · 198 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58851,-4971527] |
[a1,a2,a3,a4,a6] |
Generators |
[195003083:5694455569:205379] |
Generators of the group modulo torsion |
j |
30664297/3249 |
j-invariant |
L |
8.3555907073264 |
L(r)(E,1)/r! |
Ω |
0.30862371931305 |
Real period |
R |
13.536857643224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81225bd2 1083b2 1425a2 |
Quadratic twists by: -3 5 -19 |