Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585p |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1066225412771020125 = 33 · 53 · 139 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-422725,-93537596] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:3295:1] |
Generators of the group modulo torsion |
j |
1730766274822144/220896541125 |
j-invariant |
L |
6.6552362782562 |
L(r)(E,1)/r! |
Ω |
0.18880679431696 |
Real period |
R |
0.97913676827488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045i2 |
Quadratic twists by: 13 |