Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270m |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
21502965000 = 23 · 3 · 54 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1596,-24171] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:35:1] |
Generators of the group modulo torsion |
j |
449613538734529/21502965000 |
j-invariant |
L |
4.777278063055 |
L(r)(E,1)/r! |
Ω |
0.75757507587378 |
Real period |
R |
1.0510021196128 |
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 |
50160bw3 18810k4 31350r3 68970c3 |
Quadratic twists by: -4 -3 5 -11 |