Atkin-Lehner |
2+ 3- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550bf |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
189952 |
Modular degree for the optimal curve |
Δ |
-1999932768000 = -1 · 28 · 37 · 53 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2779,38288] |
[a1,a2,a3,a4,a6] |
Generators |
[3:214:1] |
Generators of the group modulo torsion |
j |
18997828753987/15999462144 |
j-invariant |
L |
6.4860342141357 |
L(r)(E,1)/r! |
Ω |
0.53707741299801 |
Real period |
R |
0.86260964653272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104550bp1 |
Quadratic twists by: 5 |