Atkin-Lehner |
2+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950a |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
624218750 = 2 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5326667,4733186991] |
[a1,a2,a3,a4,a6] |
j |
1069720637014538201601/39950 |
j-invariant |
L |
1.1965467182958 |
L(r)(E,1)/r! |
Ω |
0.59827335915734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990g4 |
Quadratic twists by: 5 |