Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560f |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2001730560 = -1 · 210 · 3 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200,1792] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:34:1] |
Generators of the group modulo torsion |
j |
859687196/1954815 |
j-invariant |
L |
3.0409483353379 |
L(r)(E,1)/r! |
Ω |
1.0249991246283 |
Real period |
R |
2.9667813974385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2280j4 18240cl4 13680q4 22800bh3 |
Quadratic twists by: -4 8 -3 5 |