Atkin-Lehner |
2- 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
10270f |
Isogeny class |
Conductor |
10270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
27422954000 = 24 · 53 · 133 · 792 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -2 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5827,-169549] |
[a1,a2,a3,a4,a6] |
j |
21877056646778241/27422954000 |
j-invariant |
L |
3.2788991772764 |
L(r)(E,1)/r! |
Ω |
0.54648319621273 |
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 |
82160m1 92430k1 51350f1 |
Quadratic twists by: -4 -3 5 |