Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568bl |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-125515485278208 = -1 · 212 · 32 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11991,-183465] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2457:1] |
Generators of the group modulo torsion |
j |
314432/207 |
j-invariant |
L |
6.5401838194842 |
L(r)(E,1)/r! |
Ω |
0.33464067767418 |
Real period |
R |
4.8859749141403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568m1 50784u1 4416l1 |
Quadratic twists by: -4 8 -23 |