Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bq |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
561000000000000 = 212 · 3 · 512 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53080,-4549328] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:350:1] |
Generators of the group modulo torsion |
j |
4037984881634521/136962890625 |
j-invariant |
L |
5.377204388085 |
L(r)(E,1)/r! |
Ω |
0.315187944521 |
Real period |
R |
1.4216925915554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2805e4 |
Quadratic twists by: -4 |