Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074bb |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
1352 |
Product of Tamagawa factors cp |
deg |
4672512 |
Modular degree for the optimal curve |
Δ |
8.2099451341545E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119006449,-480311149207] |
[a1,a2,a3,a4,a6] |
Generators |
[-6742:128219:1] |
Generators of the group modulo torsion |
j |
7722211175253055152433/340131399900069888 |
j-invariant |
L |
8.8847128777041 |
L(r)(E,1)/r! |
Ω |
0.045834033147101 |
Real period |
R |
0.57350686748228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222t1 1122g1 |
Quadratic twists by: -3 17 |