Atkin-Lehner |
3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
14847d |
Isogeny class |
Conductor |
14847 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6960 |
Modular degree for the optimal curve |
Δ |
-73477803 = -1 · 3 · 74 · 1012 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 6 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,82,326] |
[a1,a2,a3,a4,a6] |
Generators |
[27:151:1] |
Generators of the group modulo torsion |
j |
25088000/30603 |
j-invariant |
L |
3.1059989066918 |
L(r)(E,1)/r! |
Ω |
1.2997112264552 |
Real period |
R |
1.1948803870699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44541a1 14847b1 |
Quadratic twists by: -3 -7 |