Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bh |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89376 |
Modular degree for the optimal curve |
Δ |
-631614656764 = -1 · 22 · 710 · 13 · 43 |
Discriminant |
Eigenvalues |
2- -2 -1 7- -4 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2451,60157] |
[a1,a2,a3,a4,a6] |
j |
-5764801/2236 |
j-invariant |
L |
1.7144633494474 |
L(r)(E,1)/r! |
Ω |
0.857231674547 |
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 |
54782ba1 |
Quadratic twists by: -7 |