Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
128772n |
Isogeny class |
Conductor |
128772 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
389836800 |
Modular degree for the optimal curve |
Δ |
-3.8653392318843E+23 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 -3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88291179543,-10097737856061730] |
[a1,a2,a3,a4,a6] |
Generators |
[3186046884464674933362428856610745306006395638178799738946750290912580519972767092510815486383346921308972933624190286640118977074101080442894302021205743188970:208838667367466421183373705437415931822887636150087371169220184169998562075992402724864247941136746732939973085819547070825101869647959121125148927737294810626360:9234318037534727474114495214933341230560158698321261242264569239679456388933413767334793863264375333848098056558901823781208404431296562529535279726197633] |
Generators of the group modulo torsion |
j |
-3466729332466825523374801744/17604831836277 |
j-invariant |
L |
8.4898234826203 |
L(r)(E,1)/r! |
Ω |
0.0043791541125723 |
Real period |
R |
242.33628414237 |
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 |
42924c1 18396i1 |
Quadratic twists by: -3 -7 |