Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270n |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
2330634240000 = 214 · 32 · 54 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3675,-45783] |
[a1,a2,a3,a4,a6] |
Generators |
[307:-5434:1] |
Generators of the group modulo torsion |
j |
5489125095409201/2330634240000 |
j-invariant |
L |
5.0590663715964 |
L(r)(E,1)/r! |
Ω |
0.63698970703304 |
Real period |
R |
0.094549378034328 |
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 |
50160bz1 18810e1 31350v1 68970l1 |
Quadratic twists by: -4 -3 5 -11 |