Atkin-Lehner |
2+ 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15168g |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-25476415488 = -1 · 214 · 39 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 1 -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3185,68559] |
[a1,a2,a3,a4,a6] |
Generators |
[126875:5569992:24389] [199:-2712:1] |
Generators of the group modulo torsion |
j |
-218156637904/1554957 |
j-invariant |
L |
6.1911635842255 |
L(r)(E,1)/r! |
Ω |
1.1987084135038 |
Real period |
R |
0.14346839005312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15168m1 948b1 45504u1 |
Quadratic twists by: -4 8 -3 |