Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14168g |
Isogeny class |
Conductor |
14168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-256695058928 = -1 · 24 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- 5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1232,17405] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-343:1] |
Generators of the group modulo torsion |
j |
12914669408000/16043441183 |
j-invariant |
L |
4.2836600713947 |
L(r)(E,1)/r! |
Ω |
0.65941514743217 |
Real period |
R |
0.20300470462707 |
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 |
28336c1 113344y1 127512bl1 99176i1 |
Quadratic twists by: -4 8 -3 -7 |