Atkin-Lehner |
2+ 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970p |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
350000488890 = 2 · 36 · 5 · 134 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1779,5363] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:85:1] |
Generators of the group modulo torsion |
j |
854400197169/480110410 |
j-invariant |
L |
4.0263662696591 |
L(r)(E,1)/r! |
Ω |
0.82742813718962 |
Real period |
R |
1.2165305023753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330b2 |
Quadratic twists by: -3 |