Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400dv |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-8062156800 = -1 · 214 · 39 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,-5920] |
[a1,a2,a3,a4,a6] |
Generators |
[49:297:1] |
Generators of the group modulo torsion |
j |
-40960/27 |
j-invariant |
L |
4.3918681360162 |
L(r)(E,1)/r! |
Ω |
0.49535910931133 |
Real period |
R |
2.2165072032904 |
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 |
14400bb1 3600bg1 4800bk1 14400em1 |
Quadratic twists by: -4 8 -3 5 |