Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
213913033506816000 = 224 · 3 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8184225,9009105375] |
[a1,a2,a3,a4,a6] |
Generators |
[1973:23364:1] |
Generators of the group modulo torsion |
j |
231268521845235080809/816013464000 |
j-invariant |
L |
9.897663900315 |
L(r)(E,1)/r! |
Ω |
0.27648529730243 |
Real period |
R |
5.9663593995737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240cj4 28560ci4 |
Quadratic twists by: -4 8 |