Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ef |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5757696000000 = 214 · 33 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8625,283023] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-840:1] |
Generators of the group modulo torsion |
j |
4331431355344/351421875 |
j-invariant |
L |
8.6855864525383 |
L(r)(E,1)/r! |
Ω |
0.74145153468995 |
Real period |
R |
0.32539724973301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hi2 7140a2 |
Quadratic twists by: -4 8 |