Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160d |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-47790000 = -1 · 24 · 34 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55,-350] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2610:1] |
Generators of the group modulo torsion |
j |
-1171019776/2986875 |
j-invariant |
L |
4.8322118586182 |
L(r)(E,1)/r! |
Ω |
0.81456760800614 |
Real period |
R |
2.966120805151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7080f1 56640cn1 42480d1 70800l1 |
Quadratic twists by: -4 8 -3 5 |