Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bq |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
451558627065 = 310 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48519,4125568] |
[a1,a2,a3,a4,a6] |
j |
147281603041/5265 |
j-invariant |
L |
1.7557150428394 |
L(r)(E,1)/r! |
Ω |
0.87785752141923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555e1 585f1 |
Quadratic twists by: -3 -7 |