Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56800b |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-355000000000000 = -1 · 212 · 513 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 0 7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9533,-971563] |
[a1,a2,a3,a4,a6] |
Generators |
[13724799:256507100:35937] |
Generators of the group modulo torsion |
j |
-1497193984/5546875 |
j-invariant |
L |
9.2550915738688 |
L(r)(E,1)/r! |
Ω |
0.22122547673647 |
Real period |
R |
10.458889851148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56800r1 113600n1 11360i1 |
Quadratic twists by: -4 8 5 |