Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950m |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-51759000000 = -1 · 26 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267,11141] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-107:1] [-11:118:1] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
6.1873491243986 |
L(r)(E,1)/r! |
Ω |
0.94195051065455 |
Real period |
R |
0.82108203329345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3550l1 1278h1 |
Quadratic twists by: -3 5 |