Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6768m |
Isogeny class |
Conductor |
6768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
421023744 = 212 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 3 1 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3792,-89872] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:9:8] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
4.7467970356557 |
L(r)(E,1)/r! |
Ω |
0.60839311682152 |
Real period |
R |
1.9505468193225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
423f1 27072ca1 2256i1 |
Quadratic twists by: -4 8 -3 |