Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416r |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-60987980325888 = -1 · 210 · 33 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1616,375440] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:588:1] |
Generators of the group modulo torsion |
j |
455490213692/59558574537 |
j-invariant |
L |
5.8605099641876 |
L(r)(E,1)/r! |
Ω |
0.47946182303671 |
Real period |
R |
1.0185916936113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832c3 94248j3 |
Quadratic twists by: -4 -3 |