Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400bl |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-340992000000000 = -1 · 219 · 32 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52008,-4633488] |
[a1,a2,a3,a4,a6] |
Generators |
[452:-8000:1] |
Generators of the group modulo torsion |
j |
-243087455521/5328000 |
j-invariant |
L |
4.818328623057 |
L(r)(E,1)/r! |
Ω |
0.15786576358781 |
Real period |
R |
0.95380256015422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550p1 8880z1 |
Quadratic twists by: -4 5 |