Atkin-Lehner |
2- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44954u |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-4316752804 = -1 · 22 · 72 · 132 · 194 |
Discriminant |
Eigenvalues |
2- -2 3 7+ -2 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,406,-248] |
[a1,a2,a3,a4,a6] |
Generators |
[4:36:1] |
Generators of the group modulo torsion |
j |
43787308487/25542916 |
j-invariant |
L |
6.992736345436 |
L(r)(E,1)/r! |
Ω |
0.81591315530329 |
Real period |
R |
0.53565262276958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954j1 |
Quadratic twists by: 13 |