Atkin-Lehner |
2+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6670d |
Isogeny class |
Conductor |
6670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
26680 = 23 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -5 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
47045881/26680 |
j-invariant |
L |
3.8391767663326 |
L(r)(E,1)/r! |
Ω |
3.111582331147 |
Real period |
R |
1.2338342225119 |
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 |
53360o1 60030bg1 33350j1 |
Quadratic twists by: -4 -3 5 |