Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240go |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.5820090505082E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36021321,-84110817879] |
[a1,a2,a3,a4,a6] |
j |
-1261951554161129784785344/16069358033467396875 |
j-invariant |
L |
0.55420851844738 |
L(r)(E,1)/r! |
Ω |
0.030789347144764 |
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 |
114240io2 57120co1 |
Quadratic twists by: -4 8 |