Atkin-Lehner |
2- 3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642ci |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-4802657141829456 = -1 · 24 · 39 · 76 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33224,4076507] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:-2423:1] [99:-1373:1] |
Generators of the group modulo torsion |
j |
-5563392277408057/6588007053264 |
j-invariant |
L |
14.232487238075 |
L(r)(E,1)/r! |
Ω |
0.39237092604651 |
Real period |
R |
0.12594806390322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214q1 |
Quadratic twists by: -3 |