Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240eo |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7.4019571997186E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7120065,-7303286625] |
[a1,a2,a3,a4,a6] |
j |
152277495831664137649/282362258900400 |
j-invariant |
L |
4.4367828096419 |
L(r)(E,1)/r! |
Ω |
0.092432975701919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gs4 3570s3 |
Quadratic twists by: -4 8 |