Atkin-Lehner |
3- 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
20145h |
Isogeny class |
Conductor |
20145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316512 |
Modular degree for the optimal curve |
Δ |
-5763530731201171875 = -1 · 32 · 521 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,428009,-41397410] |
[a1,a2,a3,a4,a6] |
Generators |
[8457030:912358016:729] |
Generators of the group modulo torsion |
j |
8671243885657987383296/5763530731201171875 |
j-invariant |
L |
3.7637368790644 |
L(r)(E,1)/r! |
Ω |
0.13657097583894 |
Real period |
R |
13.779417097756 |
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 |
60435e1 100725c1 |
Quadratic twists by: -3 5 |