Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bo |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-92170395205042176 = -1 · 216 · 38 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 11- 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,108255,5076927] |
[a1,a2,a3,a4,a6] |
Generators |
[1371:52272:1] |
Generators of the group modulo torsion |
j |
9987164/6561 |
j-invariant |
L |
7.264376479723 |
L(r)(E,1)/r! |
Ω |
0.21210608768947 |
Real period |
R |
0.35675821073666 |
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 |
23232ct1 2904c1 69696br1 23232bp1 |
Quadratic twists by: -4 8 -3 -11 |