Atkin-Lehner |
2+ 3+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8142b |
Isogeny class |
Conductor |
8142 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10698881112 = 23 · 34 · 234 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2616,50184] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:321:1] |
Generators of the group modulo torsion |
j |
1981053951902857/10698881112 |
j-invariant |
L |
1.7263163046631 |
L(r)(E,1)/r! |
Ω |
1.2885772669288 |
Real period |
R |
0.66985362421362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65136s3 24426k3 |
Quadratic twists by: -4 -3 |