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 |
2.7239282226562E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3828212,2772427799] |
[a1,a2,a3,a4,a6] |
Generators |
[943:93:1] |
Generators of the group modulo torsion |
j |
229798813730057722017603/10088623046875000000 |
j-invariant |
L |
13.238204561052 |
L(r)(E,1)/r! |
Ω |
0.17224437401105 |
Real period |
R |
6.4047590082278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006669 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
119970e4 |
Quadratic twists by: -3 |