Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960bk |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.1312167754301E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47760216,-126979387920] |
[a1,a2,a3,a4,a6] |
Generators |
[-23051268599071188:-31559028672752000:5724771966369] |
Generators of the group modulo torsion |
j |
2941457786004454111199449/1252738470564000000 |
j-invariant |
L |
4.4938343336902 |
L(r)(E,1)/r! |
Ω |
0.057430696601579 |
Real period |
R |
19.561987757953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961878 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870g2 |
Quadratic twists by: -4 |