Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cr |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
618050395506087936 = 211 · 39 · 76 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561099,157289510] |
[a1,a2,a3,a4,a6] |
Generators |
[11662:1256850:1] |
Generators of the group modulo torsion |
j |
111223479026/3518667 |
j-invariant |
L |
7.5740822274004 |
L(r)(E,1)/r! |
Ω |
0.28754355118805 |
Real period |
R |
3.2925804615429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344j4 1368g3 |
Quadratic twists by: -3 -7 |