Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350cm |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-166927917187500 = -1 · 22 · 3 · 58 · 73 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6737,-583483] |
[a1,a2,a3,a4,a6] |
Generators |
[1574:22355:8] |
Generators of the group modulo torsion |
j |
86568380015/427335468 |
j-invariant |
L |
12.005377836156 |
L(r)(E,1)/r! |
Ω |
0.28855347877907 |
Real period |
R |
6.9342304050159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350b2 |
Quadratic twists by: 5 |