Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bv |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13444183939350528 = 233 · 33 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161568,24420096] |
[a1,a2,a3,a4,a6] |
Generators |
[1520:57344:1] |
Generators of the group modulo torsion |
j |
673822943613625/19421724672 |
j-invariant |
L |
4.8287790081583 |
L(r)(E,1)/r! |
Ω |
0.39608043941935 |
Real period |
R |
1.0159508287541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098w2 56784bd2 |
Quadratic twists by: -4 13 |