Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6270i |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3200639062500 = 22 · 34 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42259,-3346054] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:92:1] |
Generators of the group modulo torsion |
j |
8345773355774021929/3200639062500 |
j-invariant |
L |
3.1932378233541 |
L(r)(E,1)/r! |
Ω |
0.33298983594233 |
Real period |
R |
0.79913295609497 |
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 |
50160bd1 18810ba1 31350bl1 68970cp1 |
Quadratic twists by: -4 -3 5 -11 |