Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175c |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
362551937890625 = 58 · 79 · 23 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-199292,34281491] |
[a1,a2,a3,a4,a6] |
j |
476196576129/197225 |
j-invariant |
L |
2.1141576788741 |
L(r)(E,1)/r! |
Ω |
0.52853941971866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635j1 4025b1 |
Quadratic twists by: 5 -7 |