Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270p |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90961920 |
Modular degree for the optimal curve |
Δ |
-9.7554166907462E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4085744356,-100634524526431] |
[a1,a2,a3,a4,a6] |
Generators |
[1027682237774103647075518093985762615015841260797344782848063548388877706189706217106073884799655032515265208773134307763892466:171714282530342885977064016595433583321110918010924337132395561408097953492070917520718287525142778157174197789419196120928421535:11714012336910538968480466063807479088420753475255210701160667670129879456102924284006531405011482188896367421465483514264] |
Generators of the group modulo torsion |
j |
-6739948204520897807/8716961002500 |
j-invariant |
L |
6.9751191713773 |
L(r)(E,1)/r! |
Ω |
0.0094410019667549 |
Real period |
R |
184.70283122329 |
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 |
66270v1 |
Quadratic twists by: -47 |