Atkin-Lehner |
2+ 7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12922b |
Isogeny class |
Conductor |
12922 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
27200 |
Modular degree for the optimal curve |
Δ |
-16266413735936 = -1 · 220 · 75 · 13 · 71 |
Discriminant |
Eigenvalues |
2+ 0 1 7- 4 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-484,-193968] |
[a1,a2,a3,a4,a6] |
Generators |
[488:10508:1] |
Generators of the group modulo torsion |
j |
-12553488586521/16266413735936 |
j-invariant |
L |
3.9024364526439 |
L(r)(E,1)/r! |
Ω |
0.31446124477201 |
Real period |
R |
1.2409912246812 |
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 |
103376i1 116298bm1 90454f1 |
Quadratic twists by: -4 -3 -7 |