Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128bz |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2770869248 = -1 · 210 · 76 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,327,1009] |
[a1,a2,a3,a4,a6] |
j |
32000/23 |
j-invariant |
L |
1.8229314466956 |
L(r)(E,1)/r! |
Ω |
0.91146571741077 |
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 |
72128c1 18032y1 1472m1 |
Quadratic twists by: -4 8 -7 |