Atkin-Lehner |
2- 3+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19314k |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
1100736 |
Modular degree for the optimal curve |
Δ |
-3.367121929386E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 3 3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2361422,-1651754915] |
[a1,a2,a3,a4,a6] |
Generators |
[2137:54227:1] |
Generators of the group modulo torsion |
j |
-73986598656556637787/17106751660752896 |
j-invariant |
L |
5.8101137209345 |
L(r)(E,1)/r! |
Ω |
0.060155942512194 |
Real period |
R |
0.61912950190065 |
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 |
19314a1 |
Quadratic twists by: -3 |