Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950c |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-64244827790000000 = -1 · 27 · 57 · 113 · 136 |
Discriminant |
Eigenvalues |
2+ -1 5+ 5 11+ 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-374000,88720000] |
[a1,a2,a3,a4,a6] |
Generators |
[9885:22520:27] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
4.9696314538813 |
L(r)(E,1)/r! |
Ω |
0.35054372952855 |
Real period |
R |
3.5442307426178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18590n1 550i1 |
Quadratic twists by: 5 13 |