Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cm |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
10454868294000000 = 27 · 3 · 56 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-337750,-75531565] |
[a1,a2,a3,a4,a6] |
Generators |
[-347:363:1] |
Generators of the group modulo torsion |
j |
882774443450089/2166000000 |
j-invariant |
L |
10.591664215823 |
L(r)(E,1)/r! |
Ω |
0.19806819502378 |
Real period |
R |
1.2732103787451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570b2 |
Quadratic twists by: 13 |