Atkin-Lehner |
3- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12051b |
Isogeny class |
Conductor |
12051 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
27879277491 = 36 · 135 · 103 |
Discriminant |
Eigenvalues |
-1 3- -1 4 4 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1238,15018] |
[a1,a2,a3,a4,a6] |
j |
287626699801/38243179 |
j-invariant |
L |
1.1394173271072 |
L(r)(E,1)/r! |
Ω |
1.1394173271072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1339a1 |
Quadratic twists by: -3 |