Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24566169600 = 217 · 32 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31987201,69621916415] |
[a1,a2,a3,a4,a6] |
Generators |
[3266:99:1] |
Generators of the group modulo torsion |
j |
27614839122506424902402/187425 |
j-invariant |
L |
7.2860779499419 |
L(r)(E,1)/r! |
Ω |
0.39941004869694 |
Real period |
R |
2.2802624743141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240p6 28560bc6 |
Quadratic twists by: -4 8 |