Atkin-Lehner |
5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
11845a |
Isogeny class |
Conductor |
11845 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1488 |
Modular degree for the optimal curve |
Δ |
1480625 = 54 · 23 · 103 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58,-144] |
[a1,a2,a3,a4,a6] |
j |
21230922609/1480625 |
j-invariant |
L |
0.86996618329291 |
L(r)(E,1)/r! |
Ω |
1.7399323665858 |
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 |
106605h1 59225c1 |
Quadratic twists by: -3 5 |