Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266n |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-579419805978 = -1 · 2 · 35 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 -1 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12848,-562768] |
[a1,a2,a3,a4,a6] |
Generators |
[144:688:1] |
Generators of the group modulo torsion |
j |
-48587168449/120042 |
j-invariant |
L |
3.6786600778786 |
L(r)(E,1)/r! |
Ω |
0.22418184929335 |
Real period |
R |
0.82046340715676 |
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 |
57798bt1 1482k1 |
Quadratic twists by: -3 13 |