Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400t |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-8460000000 = -1 · 28 · 32 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-4437] |
[a1,a2,a3,a4,a6] |
Generators |
[38:225:1] |
Generators of the group modulo torsion |
j |
-1024/2115 |
j-invariant |
L |
8.9530200436129 |
L(r)(E,1)/r! |
Ω |
0.59178829682404 |
Real period |
R |
1.8910943515805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200t1 11280a1 |
Quadratic twists by: -4 5 |