Atkin-Lehner |
2+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632h |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3968 |
Modular degree for the optimal curve |
Δ |
-45632 = -1 · 26 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 1 4 -1 2 -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,22] |
[a1,a2,a3,a4,a6] |
j |
-7529536/713 |
j-invariant |
L |
3.5080583485117 |
L(r)(E,1)/r! |
Ω |
3.508058348698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45632c1 22816b1 |
Quadratic twists by: -4 8 |