Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314by |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-8823220559173582848 = -1 · 216 · 312 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2505812,-1532807625] |
[a1,a2,a3,a4,a6] |
j |
-1347365318848849/6831931392 |
j-invariant |
L |
1.9193347399901 |
L(r)(E,1)/r! |
Ω |
0.059979210624668 |
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 |
9438g1 2574k1 |
Quadratic twists by: -3 -11 |