Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270p |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
224665436160000 = 218 · 38 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24301,-1269295] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:479:1] |
Generators of the group modulo torsion |
j |
1587074323222816849/224665436160000 |
j-invariant |
L |
6.3317697311983 |
L(r)(E,1)/r! |
Ω |
0.38598092831703 |
Real period |
R |
0.22783832001775 |
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 |
50160ba1 18810h1 31350g1 68970u1 |
Quadratic twists by: -4 -3 5 -11 |