Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400ez |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1119744000 = -1 · 212 · 37 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,1600] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:32:1] [-4:36:1] |
Generators of the group modulo torsion |
j |
64/3 |
j-invariant |
L |
6.2859202239538 |
L(r)(E,1)/r! |
Ω |
1.1737855534638 |
Real period |
R |
0.66940679724304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400er1 7200w1 4800cm1 14400es1 |
Quadratic twists by: -4 8 -3 5 |