Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680bc |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.0566873283662E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,127647897,1462157032102] |
[a1,a2,a3,a4,a6] |
Generators |
[40993165531170071322054:-7896611063594448617828125:4063324396392906904] |
Generators of the group modulo torsion |
j |
116227003261808/533935546875 |
j-invariant |
L |
4.7598998640986 |
L(r)(E,1)/r! |
Ω |
0.035240238001461 |
Real period |
R |
33.767506577919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999790156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840s2 40560be2 121680bz2 |
Quadratic twists by: -4 -3 13 |