Atkin-Lehner |
2- 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110bh |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
248 |
Product of Tamagawa factors cp |
deg |
6944000 |
Modular degree for the optimal curve |
Δ |
-2.0858425277046E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2147482601,38303748741465] |
[a1,a2,a3,a4,a6] |
j |
-1095248516670909925403006195052049/2085842527704615412039680 |
j-invariant |
L |
4.3941272488471 |
L(r)(E,1)/r! |
Ω |
0.070873020142695 |
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 |
104880bg1 39330ba1 65550k1 |
Quadratic twists by: -4 -3 5 |