Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bv |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-177915256526672154 = -1 · 2 · 37 · 73 · 179 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70089,21508078] |
[a1,a2,a3,a4,a6] |
Generators |
[806:-22512:1] |
Generators of the group modulo torsion |
j |
-4599141247/21489462 |
j-invariant |
L |
5.2594981864341 |
L(r)(E,1)/r! |
Ω |
0.27860405786196 |
Real period |
R |
0.33710783444549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966p1 4998h1 |
Quadratic twists by: -7 17 |