Atkin-Lehner |
3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15987c |
Isogeny class |
Conductor |
15987 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
195969802330261683 = 35 · 738 |
Discriminant |
Eigenvalues |
1 3+ 4 -2 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6914488,-7001078495] |
[a1,a2,a3,a4,a6] |
Generators |
[-261422699574368721229011450206692616536960860:124847847638708346733076497960168443134212163:171852754736040317650504820515551789896000] |
Generators of the group modulo torsion |
j |
241583200934041/1294947 |
j-invariant |
L |
6.3633168010572 |
L(r)(E,1)/r! |
Ω |
0.0931021433846 |
Real period |
R |
68.347693938373 |
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 |
47961g2 219c2 |
Quadratic twists by: -3 73 |