Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2302157168640000 = 216 · 34 · 54 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1999201,1087341215] |
[a1,a2,a3,a4,a6] |
Generators |
[866:-2499:1] |
Generators of the group modulo torsion |
j |
13483833457558312804/35128130625 |
j-invariant |
L |
7.2860779499419 |
L(r)(E,1)/r! |
Ω |
0.39941004869694 |
Real period |
R |
1.1401312371571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762301 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240p4 28560bc4 |
Quadratic twists by: -4 8 |