Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980bb |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8014941037945094400 = -1 · 28 · 32 · 52 · 78 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-285980,148289700] |
[a1,a2,a3,a4,a6] |
Generators |
[-656:7350:1] |
Generators of the group modulo torsion |
j |
-85882368051664/266116698225 |
j-invariant |
L |
8.7731900716459 |
L(r)(E,1)/r! |
Ω |
0.20518147337584 |
Real period |
R |
3.563183169564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140c2 |
Quadratic twists by: -7 |