Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400eb |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-283435200 = -1 · 26 · 311 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,790] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:27:1] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
4.0536021075993 |
L(r)(E,1)/r! |
Ω |
1.2803379384306 |
Real period |
R |
1.5830203831061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14400bl1 3600bj1 4800cg1 14400fa2 |
Quadratic twists by: -4 8 -3 5 |