Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360p |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-13750732800 = -1 · 211 · 33 · 52 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,384,4716] |
[a1,a2,a3,a4,a6] |
j |
3049691902/6714225 |
j-invariant |
L |
1.7429814448625 |
L(r)(E,1)/r! |
Ω |
0.87149072243132 |
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 |
48720p1 73080l1 121800v1 |
Quadratic twists by: -4 -3 5 |