Atkin-Lehner |
5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175r |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
393120 |
Modular degree for the optimal curve |
Δ |
-136992839388671875 = -1 · 59 · 78 · 233 |
Discriminant |
Eigenvalues |
2 -2 5- 7+ 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,100042,13024869] |
[a1,a2,a3,a4,a6] |
j |
9834496/12167 |
j-invariant |
L |
1.7572953850673 |
L(r)(E,1)/r! |
Ω |
0.21966192313351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28175u1 28175y1 |
Quadratic twists by: 5 -7 |