Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536p |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
123656315904 = 210 · 36 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29304,1920996] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:816:1] [0:1386:1] |
Generators of the group modulo torsion |
j |
2717811254229988/120758121 |
j-invariant |
L |
7.2043429789128 |
L(r)(E,1)/r! |
Ω |
0.98316433737677 |
Real period |
R |
1.221284971567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9768n2 78144br2 58608g2 |
Quadratic twists by: -4 8 -3 |