Atkin-Lehner |
2+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662b |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1875456 |
Modular degree for the optimal curve |
Δ |
-9092260444182146 = -1 · 2 · 74 · 1110 · 73 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 11- -2 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-622548,-189170676] |
[a1,a2,a3,a4,a6] |
j |
-1028760745441/350546 |
j-invariant |
L |
1.5296440410894 |
L(r)(E,1)/r! |
Ω |
0.084980162045005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662bg1 |
Quadratic twists by: -11 |