Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ce |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
17532373985280000 = 214 · 33 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1025408,-399354973] |
[a1,a2,a3,a4,a6] |
j |
37537160298467283/5519360000 |
j-invariant |
L |
4.2008509781979 |
L(r)(E,1)/r! |
Ω |
0.15003039207931 |
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 |
48510j1 6930v1 |
Quadratic twists by: -3 -7 |