Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400cd |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1458000000000 = 210 · 36 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3000,25000] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:297:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
4.8236204526807 |
L(r)(E,1)/r! |
Ω |
0.75618611064485 |
Real period |
R |
3.1894399968331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400ex1 1800w1 1600m1 14400ch1 |
Quadratic twists by: -4 8 -3 5 |