Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270g |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2423495448000 = -1 · 26 · 32 · 53 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10599,-427478] |
[a1,a2,a3,a4,a6] |
Generators |
[38395:609732:125] |
Generators of the group modulo torsion |
j |
-131661708271504489/2423495448000 |
j-invariant |
L |
3.5415049278619 |
L(r)(E,1)/r! |
Ω |
0.23500878332254 |
Real period |
R |
7.5348352469903 |
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 |
50160bg3 18810bj3 31350bh3 68970cl3 |
Quadratic twists by: -4 -3 5 -11 |