Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136s |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37024595836928 = 217 · 710 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11564,-378672] |
[a1,a2,a3,a4,a6] |
Generators |
[266:3920:1] |
Generators of the group modulo torsion |
j |
11090466/2401 |
j-invariant |
L |
3.6145520979503 |
L(r)(E,1)/r! |
Ω |
0.46746573712478 |
Real period |
R |
1.9330572333398 |
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 |
3136e4 784c3 28224gd3 78400gz3 |
Quadratic twists by: -4 8 -3 5 |