Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14703o |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-15482259 = -1 · 35 · 133 · 29 |
Discriminant |
Eigenvalues |
2 3- 3 -2 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4,-191] |
[a1,a2,a3,a4,a6] |
Generators |
[58:113:8] |
Generators of the group modulo torsion |
j |
-4096/7047 |
j-invariant |
L |
12.431370618871 |
L(r)(E,1)/r! |
Ω |
0.99987063775126 |
Real period |
R |
1.243297897699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44109be1 14703p1 |
Quadratic twists by: -3 13 |