Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bt |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
3231036293995560960 = 234 · 310 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1202936,-500805420] |
[a1,a2,a3,a4,a6] |
j |
46999332667159819129/788827220213760 |
j-invariant |
L |
2.886097232752 |
L(r)(E,1)/r! |
Ω |
0.1443048616376 |
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 |
2730e1 87360ex1 65520dv1 109200dp1 |
Quadratic twists by: -4 8 -3 5 |