Atkin-Lehner |
5+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
43475a |
Isogeny class |
Conductor |
43475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50304 |
Modular degree for the optimal curve |
Δ |
5026796875 = 57 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 -3 5+ -1 -1 7 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-630,-4878] |
[a1,a2,a3,a4,a6] |
Generators |
[64:430:1] [-11:30:1] |
Generators of the group modulo torsion |
j |
1767172329/321715 |
j-invariant |
L |
3.8035320620034 |
L(r)(E,1)/r! |
Ω |
0.96500315997183 |
Real period |
R |
0.4926838869255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8695a1 |
Quadratic twists by: 5 |