Atkin-Lehner |
2+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11696d |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-177536486849140736 = -1 · 211 · 1710 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -6 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471451,126234090] |
[a1,a2,a3,a4,a6] |
Generators |
[-369:15810:1] [362:1734:1] |
Generators of the group modulo torsion |
j |
-5658527665998729954/86687737719307 |
j-invariant |
L |
5.6543322690916 |
L(r)(E,1)/r! |
Ω |
0.32151126605177 |
Real period |
R |
3.5173462743799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5848g2 46784bc2 105264e2 |
Quadratic twists by: -4 8 -3 |