Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800b |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-65654187680000000 = -1 · 211 · 57 · 177 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -4 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,-12327188] |
[a1,a2,a3,a4,a6] |
Generators |
[1281:45662:1] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
4.7386773303862 |
L(r)(E,1)/r! |
Ω |
0.15905101358172 |
Real period |
R |
3.724180393182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600c1 11560d1 3400b1 |
Quadratic twists by: -4 5 17 |