Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bp |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-576207623077734375 = -1 · 39 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,66141,35913240] |
[a1,a2,a3,a4,a6] |
j |
373092501599/6718359375 |
j-invariant |
L |
1.7338819252659 |
L(r)(E,1)/r! |
Ω |
0.21673524065832 |
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 |
9555q1 4095i1 |
Quadratic twists by: -3 -7 |