Atkin-Lehner |
2+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14168a |
Isogeny class |
Conductor |
14168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-1053721991168 = -1 · 211 · 75 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3 -4 7+ 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2467,-68290] |
[a1,a2,a3,a4,a6] |
Generators |
[58055677590:-501687723455:555412248] |
Generators of the group modulo torsion |
j |
-810776604402/514512691 |
j-invariant |
L |
6.0366491373433 |
L(r)(E,1)/r! |
Ω |
0.32926974577747 |
Real period |
R |
18.333446102343 |
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 |
28336k1 113344q1 127512bh1 99176f1 |
Quadratic twists by: -4 8 -3 -7 |