Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bh |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2642473760976562500 = 22 · 38 · 510 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1133667,458250241] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:27938:1] |
Generators of the group modulo torsion |
j |
14145975058083049/231986722500 |
j-invariant |
L |
4.10000408327 |
L(r)(E,1)/r! |
Ω |
0.25654105375043 |
Real period |
R |
0.99886645267405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112367 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37050bp2 22230bn2 |
Quadratic twists by: -3 5 |