Atkin-Lehner |
2+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
71672a |
Isogeny class |
Conductor |
71672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3459975690736 = -1 · 24 · 178 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -3 1 0 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3179,112999] |
[a1,a2,a3,a4,a6] |
Generators |
[51:289:1] |
Generators of the group modulo torsion |
j |
-9199872/8959 |
j-invariant |
L |
3.2602640970724 |
L(r)(E,1)/r! |
Ω |
0.72172597792777 |
Real period |
R |
1.1293289271245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4216c1 |
Quadratic twists by: 17 |