Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240et |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-5365440 = -1 · 26 · 36 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42,38] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
175616/115 |
j-invariant |
L |
2.7426301678111 |
L(r)(E,1)/r! |
Ω |
1.5107931642364 |
Real period |
R |
0.90767890430744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240fh1 33120p1 7360ba1 |
Quadratic twists by: -4 8 -3 |