Atkin-Lehner |
2- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47974f |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
-80632166393864192 = -1 · 213 · 179 · 83 |
Discriminant |
Eigenvalues |
2- 1 2 -2 5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-340737,77736713] |
[a1,a2,a3,a4,a6] |
Generators |
[-554:10103:1] |
Generators of the group modulo torsion |
j |
-36892780289/679936 |
j-invariant |
L |
12.646536314818 |
L(r)(E,1)/r! |
Ω |
0.34289969983892 |
Real period |
R |
1.4185058870157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47974g1 |
Quadratic twists by: 17 |