Atkin-Lehner |
23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
2369a |
Isogeny class |
Conductor |
2369 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
186 |
Modular degree for the optimal curve |
Δ |
-54487 = -1 · 232 · 103 |
Discriminant |
Eigenvalues |
1 -2 0 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6,-13] |
[a1,a2,a3,a4,a6] |
j |
-18609625/54487 |
j-invariant |
L |
0.72050482853885 |
L(r)(E,1)/r! |
Ω |
1.4410096570777 |
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 |
37904f1 21321d1 59225d1 116081a1 |
Quadratic twists by: -4 -3 5 -7 |