Atkin-Lehner |
2- 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bh |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-91329582734208 = -1 · 27 · 38 · 73 · 13 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58496,-5450205] |
[a1,a2,a3,a4,a6] |
j |
-30364611759131833/125280634752 |
j-invariant |
L |
2.1483715930001 |
L(r)(E,1)/r! |
Ω |
0.15345511378781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834a1 |
Quadratic twists by: -3 |