Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464bi |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
145753344 = 28 · 36 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] [-3:9:1] |
Generators of the group modulo torsion |
j |
1769472/781 |
j-invariant |
L |
10.01102634262 |
L(r)(E,1)/r! |
Ω |
1.4354712091304 |
Real period |
R |
0.87175436537469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28116f1 12496f1 |
Quadratic twists by: -4 -3 |