Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734w |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-1.223570672854E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9579007,-11535370027] |
[a1,a2,a3,a4,a6] |
Generators |
[56306:13312031:1] |
Generators of the group modulo torsion |
j |
-97204235029656522295216753/1223570672853969875292 |
j-invariant |
L |
10.111733205038 |
L(r)(E,1)/r! |
Ω |
0.042875975546745 |
Real period |
R |
2.4566334147736 |
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 |
59202h1 |
Quadratic twists by: -3 |