Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400db |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
10911744000 = 218 · 32 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-768,-6732] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:24:1] [-12:30:1] |
Generators of the group modulo torsion |
j |
97972181/21312 |
j-invariant |
L |
9.9885759792802 |
L(r)(E,1)/r! |
Ω |
0.92082550056699 |
Real period |
R |
2.7118536501032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bd1 44400cb1 |
Quadratic twists by: -4 5 |