Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360g |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-18739500000000 = -1 · 28 · 3 · 59 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-220701] |
[a1,a2,a3,a4,a6] |
j |
-14173478093824/73201171875 |
j-invariant |
L |
2.2883361083975 |
L(r)(E,1)/r! |
Ω |
0.28604201347965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720f1 |
Quadratic twists by: -4 |