Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2184m |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-690669278208 = -1 · 210 · 32 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1696,-29040] |
[a1,a2,a3,a4,a6] |
Generators |
[19:102:1] |
Generators of the group modulo torsion |
j |
526556774012/674481717 |
j-invariant |
L |
3.2926260654929 |
L(r)(E,1)/r! |
Ω |
0.48403930954198 |
Real period |
R |
3.4011969695277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4368d4 17472h4 6552l4 54600d3 |
Quadratic twists by: -4 8 -3 5 |