Atkin-Lehner |
2+ 3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642x |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
247808 |
Modular degree for the optimal curve |
Δ |
-77655595936464 = -1 · 24 · 317 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5040,-444528] |
[a1,a2,a3,a4,a6] |
Generators |
[276:4236:1] |
Generators of the group modulo torsion |
j |
-19423892355841/106523451216 |
j-invariant |
L |
4.01635313276 |
L(r)(E,1)/r! |
Ω |
0.25459366931709 |
Real period |
R |
0.98597137898428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214bc1 |
Quadratic twists by: -3 |