Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400bu |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-182504652800 = -1 · 221 · 52 · 592 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -5 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-20543] |
[a1,a2,a3,a4,a6] |
Generators |
[43:236:1] [61:448:1] |
Generators of the group modulo torsion |
j |
-625/27848 |
j-invariant |
L |
8.8192454933622 |
L(r)(E,1)/r! |
Ω |
0.4619202805756 |
Real period |
R |
2.3865713045997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400o1 23600q1 94400dd1 |
Quadratic twists by: -4 8 5 |