Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240fc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8.25397618836E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11972521,-15330250679] |
[a1,a2,a3,a4,a6] |
j |
46336222206752529502144/2015130905361328125 |
j-invariant |
L |
1.4648444475841 |
L(r)(E,1)/r! |
Ω |
0.081380234041868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240iw2 57120y1 |
Quadratic twists by: -4 8 |