Atkin-Lehner |
2- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101332f |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2395008 |
Modular degree for the optimal curve |
Δ |
-1924319611702176304 = -1 · 24 · 717 · 11 · 47 |
Discriminant |
Eigenvalues |
2- -2 3 7- 11+ 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1766809,905797164] |
[a1,a2,a3,a4,a6] |
Generators |
[11378600:37882978:15625] |
Generators of the group modulo torsion |
j |
-324029494861938688/1022277926131 |
j-invariant |
L |
5.4654944120135 |
L(r)(E,1)/r! |
Ω |
0.26398490394925 |
Real period |
R |
5.1759535638873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14476c1 |
Quadratic twists by: -7 |