Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360bn |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-941288299200 = -1 · 26 · 315 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 -2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2371,65245] |
[a1,a2,a3,a4,a6] |
j |
-23042073442816/14707629675 |
j-invariant |
L |
1.6316361040698 |
L(r)(E,1)/r! |
Ω |
0.81581805203853 |
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 |
39360ck1 19680l1 118080fy1 |
Quadratic twists by: -4 8 -3 |