Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984db |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
1381317092539969536 = 212 · 35 · 710 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-423376,-89836972] |
[a1,a2,a3,a4,a6] |
j |
7253758561/1193859 |
j-invariant |
L |
1.8925169922089 |
L(r)(E,1)/r! |
Ω |
0.18925169922352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499c1 119952fz1 39984bi1 |
Quadratic twists by: -4 -3 -7 |