Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dx |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-7344121176 = -1 · 23 · 33 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6376077,6196425129] |
[a1,a2,a3,a4,a6] |
Generators |
[-2460:84873:1] [182220:-91257:125] |
Generators of the group modulo torsion |
j |
-843137281012581793/216 |
j-invariant |
L |
15.733788518414 |
L(r)(E,1)/r! |
Ω |
0.54285437299725 |
Real period |
R |
0.80509562566902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734j2 84966dj2 |
Quadratic twists by: -7 17 |