Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dx |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-847872000000 = -1 · 218 · 32 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-45537] |
[a1,a2,a3,a4,a6] |
Generators |
[1293:46500:1] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
7.426498593112 |
L(r)(E,1)/r! |
Ω |
0.38040047808972 |
Real period |
R |
4.8807106090596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fs1 1725f1 4416c1 |
Quadratic twists by: -4 8 5 |