Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384be |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
2224887533568 = 212 · 35 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3368,21492] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:294:1] |
Generators of the group modulo torsion |
j |
1031831907625/543185433 |
j-invariant |
L |
4.9306927630014 |
L(r)(E,1)/r! |
Ω |
0.72111617909752 |
Real period |
R |
0.22791948121185 |
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 |
399a1 25536ce1 19152by1 44688bv1 |
Quadratic twists by: -4 8 -3 -7 |