Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266l |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-166872904121664 = -1 · 26 · 37 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34142,2503568] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:2053:1] |
Generators of the group modulo torsion |
j |
-911826451873/34572096 |
j-invariant |
L |
6.054043988397 |
L(r)(E,1)/r! |
Ω |
0.56932753762324 |
Real period |
R |
0.18988705309346 |
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 |
57798bs1 1482i1 |
Quadratic twists by: -3 13 |