Atkin-Lehner |
5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175p |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18480 |
Modular degree for the optimal curve |
Δ |
-16573802875 = -1 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
0 2 5- 7+ 2 -4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1143,-15737] |
[a1,a2,a3,a4,a6] |
j |
-229376/23 |
j-invariant |
L |
2.4491554533381 |
L(r)(E,1)/r! |
Ω |
0.40819257555645 |
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 |
28175s1 28175w1 |
Quadratic twists by: 5 -7 |