Atkin-Lehner |
3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28035c |
Isogeny class |
Conductor |
28035 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
49111348545 = 311 · 5 · 7 · 892 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1328,-14934] |
[a1,a2,a3,a4,a6] |
j |
355045312441/67368105 |
j-invariant |
L |
1.6026222842836 |
L(r)(E,1)/r! |
Ω |
0.80131114214201 |
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 |
9345a1 |
Quadratic twists by: -3 |