Atkin-Lehner |
3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23373g |
Isogeny class |
Conductor |
23373 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-668203848711 = -1 · 37 · 78 · 53 |
Discriminant |
Eigenvalues |
1 3- -2 7- 2 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,432,-39285] |
[a1,a2,a3,a4,a6] |
j |
103823/7791 |
j-invariant |
L |
1.7298201071885 |
L(r)(E,1)/r! |
Ω |
0.43245502679714 |
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 |
7791g1 3339b1 |
Quadratic twists by: -3 -7 |