Atkin-Lehner |
2- 3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5478j |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
21773979300446208 = 214 · 313 · 112 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139314069523,-20014366171997935] |
[a1,a2,a3,a4,a6] |
Generators |
[-57970671161197217286451030134925875:28985207835393353979030358386482230:269011364123746094608190802097] |
Generators of the group modulo torsion |
j |
299025791131815421062651276794007432625/21773979300446208 |
j-invariant |
L |
5.0932307377446 |
L(r)(E,1)/r! |
Ω |
0.0078144930635882 |
Real period |
R |
46.554804335079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824bi2 16434h2 60258e2 |
Quadratic twists by: -4 -3 -11 |