Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734s |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-272802816 = -1 · 210 · 34 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11+ 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-365,2769] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
-5378691911761/272802816 |
j-invariant |
L |
9.9656170081212 |
L(r)(E,1)/r! |
Ω |
1.7203774461017 |
Real period |
R |
0.1448173049278 |
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 |
59202q1 |
Quadratic twists by: -3 |