Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bq |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-382305792000 = -1 · 212 · 3 · 53 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1480,19632] |
[a1,a2,a3,a4,a6] |
Generators |
[4:160:1] |
Generators of the group modulo torsion |
j |
87469256519/93336375 |
j-invariant |
L |
5.377204388085 |
L(r)(E,1)/r! |
Ω |
0.63037588904201 |
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 |
2805e1 |
Quadratic twists by: -4 |