Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128br |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18800640 |
Modular degree for the optimal curve |
Δ |
-4.5121211614751E+24 |
Discriminant |
Eigenvalues |
2- 3 0 7- -6 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4787300,-102119883544] |
[a1,a2,a3,a4,a6] |
Generators |
[647830351905061396084495313484942317525793606627078977936589979135843746731298518455580993896083117:55247374827798352258762428674042959447767088949373376632013474414830141521841494337438349445869984183:78946594375025868321040783873545420470592573964049353590173657721543282002891515051435852501281] |
Generators of the group modulo torsion |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
11.118311108236 |
L(r)(E,1)/r! |
Ω |
0.036316787399479 |
Real period |
R |
153.0739900798 |
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 |
72128y1 18032h1 10304bh1 |
Quadratic twists by: -4 8 -7 |