Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270g |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
180184125000 = 23 · 3 · 56 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-170319,-27068774] |
[a1,a2,a3,a4,a6] |
Generators |
[163587130:86718983:343000] |
Generators of the group modulo torsion |
j |
546398303575251662569/180184125000 |
j-invariant |
L |
3.5415049278619 |
L(r)(E,1)/r! |
Ω |
0.23500878332254 |
Real period |
R |
15.069670493981 |
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 |
50160bg4 18810bj4 31350bh4 68970cl4 |
Quadratic twists by: -4 -3 5 -11 |