Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110k |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.3187155087148E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2088844,-1118332824] |
[a1,a2,a3,a4,a6] |
Generators |
[-5706:26599:8] |
Generators of the group modulo torsion |
j |
95049812289853/4072531250 |
j-invariant |
L |
1.732711874091 |
L(r)(E,1)/r! |
Ω |
0.12591316202475 |
Real period |
R |
3.4402914004942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32110bi2 |
Quadratic twists by: 13 |