Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400bw |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-3552000 = -1 · 28 · 3 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,97] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] |
Generators of the group modulo torsion |
j |
-8192/111 |
j-invariant |
L |
5.0027283977884 |
L(r)(E,1)/r! |
Ω |
2.1173993470704 |
Real period |
R |
0.5906689737945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100n1 44400dl1 |
Quadratic twists by: -4 5 |