Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bp |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
-2.1120267758957E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 1 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,632724,-2202594896] |
[a1,a2,a3,a4,a6] |
Generators |
[14851882:239844096:12167] |
Generators of the group modulo torsion |
j |
146588258764583/11051773342848 |
j-invariant |
L |
5.3527861981882 |
L(r)(E,1)/r! |
Ω |
0.069866104140091 |
Real period |
R |
9.5768653343957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928ev1 3654s1 38976o1 |
Quadratic twists by: -4 8 -3 |