Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544cx |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
603569051430912 = 212 · 34 · 77 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22360,-501584] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:196:1] [-86:882:1] |
Generators of the group modulo torsion |
j |
2565726409/1252503 |
j-invariant |
L |
6.9163486986364 |
L(r)(E,1)/r! |
Ω |
0.41016732313198 |
Real period |
R |
2.1077826997975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999954855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6909h2 15792bi2 |
Quadratic twists by: -4 -7 |