Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775c |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8933203125 = 33 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76230000,-256206911625] |
[a1,a2,a3,a4,a6] |
Generators |
[-4074244242895022710632312038:2037119389909876597170338637:808181353690849635068312] |
Generators of the group modulo torsion |
j |
3135316978843283198764801/571725 |
j-invariant |
L |
3.7730231749349 |
L(r)(E,1)/r! |
Ω |
0.051093784743436 |
Real period |
R |
36.922525840285 |
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 |
92400hd6 17325s5 1155m5 40425cg6 |
Quadratic twists by: -4 -3 5 -7 |