Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384cz |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
159762087936 = 220 · 36 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2124,32400] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:260:1] [0:180:1] |
Generators of the group modulo torsion |
j |
5545233/836 |
j-invariant |
L |
13.027258355641 |
L(r)(E,1)/r! |
Ω |
0.98077588917725 |
Real period |
R |
6.6413023107412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384bj1 30096bg1 13376s1 |
Quadratic twists by: -4 8 -3 |