Atkin-Lehner |
3+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
20145c |
Isogeny class |
Conductor |
20145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-944296875 = -1 · 32 · 57 · 17 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 0 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4083,98748] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-12:1] |
Generators of the group modulo torsion |
j |
-7530573279628729/944296875 |
j-invariant |
L |
5.0172907940273 |
L(r)(E,1)/r! |
Ω |
1.5105436065936 |
Real period |
R |
1.6607566878992 |
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 |
60435i1 100725n1 |
Quadratic twists by: -3 5 |