Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600o |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-95201570800 = -1 · 24 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -5 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5,-14845] |
[a1,a2,a3,a4,a6] |
Generators |
[26:51:1] [154:1907:1] |
Generators of the group modulo torsion |
j |
-34560/238003927 |
j-invariant |
L |
8.6084954368028 |
L(r)(E,1)/r! |
Ω |
0.48947782984462 |
Real period |
R |
8.7935498932983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900c1 47600bp1 |
Quadratic twists by: -4 5 |