Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48944m |
Isogeny class |
Conductor |
48944 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
133995534647296 = 215 · 72 · 193 · 233 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55384,5004272] |
[a1,a2,a3,a4,a6] |
Generators |
[154:322:1] |
Generators of the group modulo torsion |
j |
4586955865263577/32713753576 |
j-invariant |
L |
5.9742905502044 |
L(r)(E,1)/r! |
Ω |
0.58697113522069 |
Real period |
R |
0.84818062759911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118d2 |
Quadratic twists by: -4 |