Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150cc |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2779722562500 = 22 · 36 · 56 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3642,-25984] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:196:1] [-370:1823:8] |
Generators of the group modulo torsion |
j |
469097433/244036 |
j-invariant |
L |
7.4501714258819 |
L(r)(E,1)/r! |
Ω |
0.65065014564916 |
Real period |
R |
1.4312936593763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003171 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12350s2 4446q2 |
Quadratic twists by: -3 5 |