Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990by |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.8605299332769E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12378381,-16761062319] |
[a1,a2,a3,a4,a6] |
j |
1782900110862842086081/328139630024640 |
j-invariant |
L |
3.8634885262448 |
L(r)(E,1)/r! |
Ω |
0.080489344296773 |
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 |
74970by4 124950bc4 3570t4 |
Quadratic twists by: -3 5 -7 |