Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400cl |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
265155379200 = 217 · 37 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4168,99188] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-288:1] |
Generators of the group modulo torsion |
j |
78218787505/2589408 |
j-invariant |
L |
7.1557705930393 |
L(r)(E,1)/r! |
Ω |
0.97511092274364 |
Real period |
R |
0.26208632218636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550c1 44400bz1 |
Quadratic twists by: -4 5 |