Atkin-Lehner |
2- 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416l |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-109285131174912 = -1 · 210 · 32 · 78 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26048,1703196] |
[a1,a2,a3,a4,a6] |
Generators |
[110:396:1] |
Generators of the group modulo torsion |
j |
-1908813851594500/106723760913 |
j-invariant |
L |
4.3977743232506 |
L(r)(E,1)/r! |
Ω |
0.58614626215525 |
Real period |
R |
1.8757154174625 |
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 |
62832s2 94248h2 |
Quadratic twists by: -4 -3 |