Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102o |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
7.1768527219557E+19 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4194452,3280874384] |
[a1,a2,a3,a4,a6] |
Generators |
[872:16492:1] |
Generators of the group modulo torsion |
j |
55129288688387857/484804919296 |
j-invariant |
L |
6.9689831610448 |
L(r)(E,1)/r! |
Ω |
0.19545315298788 |
Real period |
R |
0.84894087388479 |
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 |
874f1 |
Quadratic twists by: -23 |