Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640x |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-51439104000 = -1 · 212 · 33 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,800,-6848] |
[a1,a2,a3,a4,a6] |
Generators |
[24:160:1] |
Generators of the group modulo torsion |
j |
13806727199/12558375 |
j-invariant |
L |
4.8554769394519 |
L(r)(E,1)/r! |
Ω |
0.61664819108293 |
Real period |
R |
1.3123303826679 |
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 |
915d1 58560do1 43920bj1 73200ch1 |
Quadratic twists by: -4 8 -3 5 |