Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6270d |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
238064062500 = 22 · 36 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2757,49401] |
[a1,a2,a3,a4,a6] |
Generators |
[12:129:1] |
Generators of the group modulo torsion |
j |
2318889846161881/238064062500 |
j-invariant |
L |
2.8787332528511 |
L(r)(E,1)/r! |
Ω |
0.960730022946 |
Real period |
R |
0.37455023577067 |
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 |
50160cd1 18810r1 31350cc1 68970bz1 |
Quadratic twists by: -4 -3 5 -11 |