Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
846c |
Isogeny class |
Conductor |
846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-11367641088 = -1 · 212 · 310 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,522,2164] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:41:1] |
Generators of the group modulo torsion |
j |
21554582687/15593472 |
j-invariant |
L |
1.6551206746339 |
L(r)(E,1)/r! |
Ω |
0.81106328775313 |
Real period |
R |
1.0203400274836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6768o1 27072bc1 282a1 21150bv1 |
Quadratic twists by: -4 8 -3 5 |