Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240cn |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.3994908614684E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4242945,1065434625] |
[a1,a2,a3,a4,a6] |
j |
32224493437735955329/16782725759385600 |
j-invariant |
L |
3.8847063795384 |
L(r)(E,1)/r! |
Ω |
0.12139708580881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240kk2 3570x2 |
Quadratic twists by: -4 8 |