Atkin-Lehner |
2- 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530ba |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-636798412800000 = -1 · 214 · 37 · 55 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ -7 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14657,1396689] |
[a1,a2,a3,a4,a6] |
Generators |
[87:836:1] [47:876:1] |
Generators of the group modulo torsion |
j |
-477643276100809/873523200000 |
j-invariant |
L |
12.475958952803 |
L(r)(E,1)/r! |
Ω |
0.45785903924539 |
Real period |
R |
0.048657984707966 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510a1 |
Quadratic twists by: -3 |