Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700ca |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18950400 |
Modular degree for the optimal curve |
Δ |
-3.9119943291943E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267681000,-1685704137500] |
[a1,a2,a3,a4,a6] |
Generators |
[10288514580900:399010860129250:525557943] |
Generators of the group modulo torsion |
j |
-5819408145941159936/107324947303 |
j-invariant |
L |
8.1139657692995 |
L(r)(E,1)/r! |
Ω |
0.018662279606636 |
Real period |
R |
18.115788327055 |
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 |
13300r1 119700cl1 |
Quadratic twists by: -3 5 |