Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28175l |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4686790185546875 = -1 · 511 · 73 · 234 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- -3 1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,39842,-1203156] |
[a1,a2,a3,a4,a6] |
Generators |
[1353:50312:1] |
Generators of the group modulo torsion |
j |
1305034698752/874503125 |
j-invariant |
L |
2.6430683214642 |
L(r)(E,1)/r! |
Ω |
0.24674679745263 |
Real period |
R |
0.3347394409916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5635c1 28175m1 |
Quadratic twists by: 5 -7 |