Atkin-Lehner |
2- 3+ 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970bo |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
8.6805419369872E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47890712,-126761072201] |
[a1,a2,a3,a4,a6] |
Generators |
[-1415449:8972153:343] |
Generators of the group modulo torsion |
j |
617143689616853675112507/4410172197829187500 |
j-invariant |
L |
13.238204561052 |
L(r)(E,1)/r! |
Ω |
0.057414791337018 |
Real period |
R |
2.1349196694093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970e2 |
Quadratic twists by: -3 |