Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032bp |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15450607872 = 28 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -6 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14847,696290] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:882:1] [77:-98:1] |
Generators of the group modulo torsion |
j |
445090032/19 |
j-invariant |
L |
7.5468369734509 |
L(r)(E,1)/r! |
Ω |
1.1680877485799 |
Real period |
R |
0.80760595496797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032h2 1368d2 |
Quadratic twists by: -3 -7 |