Atkin-Lehner |
5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28475f |
Isogeny class |
Conductor |
28475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-631725438671875 = -1 · 58 · 176 · 67 |
Discriminant |
Eigenvalues |
0 0 5- -2 4 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6250,-1194219] |
[a1,a2,a3,a4,a6] |
j |
69120000000/1617217123 |
j-invariant |
L |
1.4920748760686 |
L(r)(E,1)/r! |
Ω |
0.24867914601161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28475a1 |
Quadratic twists by: 5 |