Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cm |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
172432816460174592 = 28 · 316 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-277095,52467338] |
[a1,a2,a3,a4,a6] |
Generators |
[91:5292:1] |
Generators of the group modulo torsion |
j |
107165266000/7853517 |
j-invariant |
L |
5.9927886049304 |
L(r)(E,1)/r! |
Ω |
0.31487473591603 |
Real period |
R |
2.379036772601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344f2 9576y2 |
Quadratic twists by: -3 -7 |