Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978bh |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
5.6908183555552E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1538577,-638755820] |
[a1,a2,a3,a4,a6] |
Generators |
[-646:-8934:1] |
Generators of the group modulo torsion |
j |
3423676911662954233/483711578981136 |
j-invariant |
L |
3.8476261342422 |
L(r)(E,1)/r! |
Ω |
0.13683065751269 |
Real period |
R |
0.46866033829547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997322 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1122b2 |
Quadratic twists by: -7 |