Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1584n |
Isogeny class |
Conductor |
1584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
197074944 = 213 · 37 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50691,-4392830] |
[a1,a2,a3,a4,a6] |
Generators |
[311:3150:1] |
Generators of the group modulo torsion |
j |
4824238966273/66 |
j-invariant |
L |
2.7345658760368 |
L(r)(E,1)/r! |
Ω |
0.31817557698225 |
Real period |
R |
4.2972592396515 |
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 |
198a3 6336ci3 528j3 39600do4 |
Quadratic twists by: -4 8 -3 5 |