Atkin-Lehner |
2+ 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
5538d |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-63698076 = -1 · 22 · 35 · 13 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,19,-375] |
[a1,a2,a3,a4,a6] |
j |
697864103/63698076 |
j-invariant |
L |
0.93321913935844 |
L(r)(E,1)/r! |
Ω |
0.93321913935844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44304k1 16614r1 71994ba1 |
Quadratic twists by: -4 -3 13 |