Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8880ba |
Isogeny class |
Conductor |
8880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
102297600000000 = 218 · 33 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5456080,-4907160172] |
[a1,a2,a3,a4,a6] |
Generators |
[2876:56550:1] |
Generators of the group modulo torsion |
j |
4385367890843575421521/24975000000 |
j-invariant |
L |
5.3449677193941 |
L(r)(E,1)/r! |
Ω |
0.098782352759348 |
Real period |
R |
4.5090440162049 |
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 |
1110k4 35520bq4 26640be4 44400x4 |
Quadratic twists by: -4 8 -3 5 |