Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600d |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-19801491660000000 = -1 · 28 · 316 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 -2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7033,6776437] |
[a1,a2,a3,a4,a6] |
Generators |
[2308:164025:64] |
Generators of the group modulo torsion |
j |
-9619385344/4950372915 |
j-invariant |
L |
5.1686629932513 |
L(r)(E,1)/r! |
Ω |
0.31199433186866 |
Real period |
R |
2.0708160635059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13800p1 110400hz1 82800bj1 5520h1 |
Quadratic twists by: -4 8 -3 5 |