Atkin-Lehner |
2+ 3+ 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190d |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
690857100 = 22 · 34 · 52 · 19 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-342,1944] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:72:1] |
Generators of the group modulo torsion |
j |
4444108854121/690857100 |
j-invariant |
L |
4.7330560907974 |
L(r)(E,1)/r! |
Ω |
1.5419920119711 |
Real period |
R |
0.76736066951925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bi2 |
Quadratic twists by: -3 |