Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
2196d |
Isogeny class |
Conductor |
2196 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6249851136 = -1 · 28 · 38 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,249,-3490] |
[a1,a2,a3,a4,a6] |
Generators |
[19:90:1] |
Generators of the group modulo torsion |
j |
9148592/33489 |
j-invariant |
L |
2.8977255352643 |
L(r)(E,1)/r! |
Ω |
0.68159161911758 |
Real period |
R |
1.41713672038 |
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 |
8784s2 35136x2 732a2 54900l2 |
Quadratic twists by: -4 8 -3 5 |