Atkin-Lehner |
3+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997h |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.9834538313306E+28 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,613313546,5906493564656] |
[a1,a2,a3,a4,a6] |
Generators |
[29727939370004355765002135116089:17010366680589876965659970915134790:5574051193457042459883941957] |
Generators of the group modulo torsion |
j |
216861842158814408229173807/253589391438141377944269 |
j-invariant |
L |
2.535776964232 |
L(r)(E,1)/r! |
Ω |
0.024835955616836 |
Real period |
R |
51.050521366784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571j2 |
Quadratic twists by: -7 |