Atkin-Lehner |
2- 5- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16430c |
Isogeny class |
Conductor |
16430 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-521553920000 = -1 · 214 · 54 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- 0 -2 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-560,35072] |
[a1,a2,a3,a4,a6] |
Generators |
[44:288:1] |
Generators of the group modulo torsion |
j |
-19423892355841/521553920000 |
j-invariant |
L |
9.2351912630231 |
L(r)(E,1)/r! |
Ω |
0.77581411025932 |
Real period |
R |
0.10628456450845 |
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 |
82150a1 |
Quadratic twists by: 5 |