Atkin-Lehner |
2+ 3- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642m |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-43408095014466 = -1 · 2 · 39 · 7 · 13 · 594 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8694,53806] |
[a1,a2,a3,a4,a6] |
j |
99684352512863/59544711954 |
j-invariant |
L |
1.5686494957344 |
L(r)(E,1)/r! |
Ω |
0.39216233714614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214s1 |
Quadratic twists by: -3 |