Atkin-Lehner |
5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4945a |
Isogeny class |
Conductor |
4945 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
-454347969146875 = -1 · 55 · 23 · 436 |
Discriminant |
Eigenvalues |
0 -2 5+ -1 0 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38691,3090765] |
[a1,a2,a3,a4,a6] |
j |
-6405673525466005504/454347969146875 |
j-invariant |
L |
0.34548037680728 |
L(r)(E,1)/r! |
Ω |
0.51822056521093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
79120p1 44505n1 24725e1 113735h1 |
Quadratic twists by: -4 -3 5 -23 |