Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cc |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-315235546875000000 = -1 · 26 · 39 · 514 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -5 -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,114205,-22599975] |
[a1,a2,a3,a4,a6] |
j |
2573921453911778816/4925555419921875 |
j-invariant |
L |
2.236752716985 |
L(r)(E,1)/r! |
Ω |
0.15976805121663 |
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 |
39360de1 19680z1 118080ec1 |
Quadratic twists by: -4 8 -3 |