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 |
2042859204000000 = 28 · 312 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63975,-5836250] |
[a1,a2,a3,a4,a6] |
Generators |
[19083:469216:27] |
Generators of the group modulo torsion |
j |
9930407632/700569 |
j-invariant |
L |
7.880044226745 |
L(r)(E,1)/r! |
Ω |
0.30152503666694 |
Real period |
R |
6.533490807602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006908 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55800j2 37200w2 4464i2 |
Quadratic twists by: -4 -3 5 |