Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558cx |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-205903507778174976 = -1 · 221 · 3 · 76 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,147315,-1720047] |
[a1,a2,a3,a4,a6] |
Generators |
[98:3647:1] |
Generators of the group modulo torsion |
j |
24148696733080799/14063486631936 |
j-invariant |
L |
14.57984571744 |
L(r)(E,1)/r! |
Ω |
0.18721005322144 |
Real period |
R |
0.20603071116466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558ba1 |
Quadratic twists by: -11 |