Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400cv |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
2455142400000000000 = 224 · 34 · 511 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78055408,-265457600812] |
[a1,a2,a3,a4,a6] |
j |
821774646379511057449/38361600000 |
j-invariant |
L |
3.2507141363969 |
L(r)(E,1)/r! |
Ω |
0.050792408380948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bc1 8880l1 |
Quadratic twists by: -4 5 |