Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14025f |
Isogeny class |
Conductor |
14025 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-385012546875 = -1 · 32 · 56 · 115 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6733,216993] |
[a1,a2,a3,a4,a6] |
Generators |
[7:412:1] |
Generators of the group modulo torsion |
j |
-2160697802752/24640803 |
j-invariant |
L |
3.2465130033775 |
L(r)(E,1)/r! |
Ω |
0.95474937311066 |
Real period |
R |
0.17001912202362 |
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 |
42075s1 561b1 |
Quadratic twists by: -3 5 |