Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666w |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7292553200093620368 = -1 · 24 · 34 · 74 · 1310 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17242,-129930916] |
[a1,a2,a3,a4,a6] |
Generators |
[781:17861:1] |
Generators of the group modulo torsion |
j |
-117433042273/1510843540752 |
j-invariant |
L |
4.5954796191231 |
L(r)(E,1)/r! |
Ω |
0.10717154429896 |
Real period |
R |
2.6799788882355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282x4 |
Quadratic twists by: 13 |