Atkin-Lehner |
2+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
46256u |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-99510347776 = -1 · 211 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- -2 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,-12524] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-196:1] |
Generators of the group modulo torsion |
j |
207646/413 |
j-invariant |
L |
3.3730068735294 |
L(r)(E,1)/r! |
Ω |
0.55513796735029 |
Real period |
R |
0.75949742944881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23128s1 6608a1 |
Quadratic twists by: -4 -7 |