Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400di |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-67221798912000 = -1 · 217 · 34 · 53 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 0 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93288,10943028] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:-3552:1] |
Generators of the group modulo torsion |
j |
-175362106452317/131292576 |
j-invariant |
L |
7.0149917415776 |
L(r)(E,1)/r! |
Ω |
0.61324158127618 |
Real period |
R |
0.11915831031778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550k1 44400bt1 |
Quadratic twists by: -4 5 |