Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
28182i |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
-3.1074159620546E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,784074,-22725464] |
[a1,a2,a3,a4,a6] |
Generators |
[814:60573:8] |
Generators of the group modulo torsion |
j |
53308402338517530734375/31074159620546003808 |
j-invariant |
L |
4.9166491541935 |
L(r)(E,1)/r! |
Ω |
0.12315330573223 |
Real period |
R |
1.4786295482633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84546br1 |
Quadratic twists by: -3 |