Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434q |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
742208873472 = 210 · 38 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20426,1127945] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1431:1] [-69:1519:1] |
Generators of the group modulo torsion |
j |
1292784788612953/1018119168 |
j-invariant |
L |
8.3395280709989 |
L(r)(E,1)/r! |
Ω |
0.8932823755823 |
Real period |
R |
0.31119417177806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478d1 |
Quadratic twists by: -3 |