Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bh |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-290842621488000000 = -1 · 210 · 39 · 56 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57525,-25397750] |
[a1,a2,a3,a4,a6] |
Generators |
[2741:143964:1] |
Generators of the group modulo torsion |
j |
1804870652/24935067 |
j-invariant |
L |
7.880044226745 |
L(r)(E,1)/r! |
Ω |
0.15076251833347 |
Real period |
R |
3.266745403801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800j3 37200w3 4464i4 |
Quadratic twists by: -4 -3 5 |