Atkin-Lehner |
2- 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674r |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28544 |
Modular degree for the optimal curve |
Δ |
-900718 = -1 · 2 · 73 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 2 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6,-43] |
[a1,a2,a3,a4,a6] |
j |
68921/2626 |
j-invariant |
L |
2.693141312042 |
L(r)(E,1)/r! |
Ω |
1.3465706465545 |
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 |
128674y1 |
Quadratic twists by: -7 |