Atkin-Lehner |
2- 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bn |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
704000 |
Modular degree for the optimal curve |
Δ |
-2728808888785056 = -1 · 25 · 311 · 72 · 115 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15944,2634027] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:777:1] [-103:1833:1] |
Generators of the group modulo torsion |
j |
-614840552730937/3743222069664 |
j-invariant |
L |
13.421993989485 |
L(r)(E,1)/r! |
Ω |
0.39192903071559 |
Real period |
R |
0.17122990308988 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28182b1 |
Quadratic twists by: -3 |