Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cb |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-4960905785830176 = -1 · 25 · 3 · 77 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62280,6849513] |
[a1,a2,a3,a4,a6] |
Generators |
[447:8057:1] |
Generators of the group modulo torsion |
j |
-47045881/8736 |
j-invariant |
L |
7.9828568217723 |
L(r)(E,1)/r! |
Ω |
0.41502937168998 |
Real period |
R |
0.48086095625188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098bb1 3822h1 |
Quadratic twists by: -7 13 |