Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600u |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
56045520000000 = 210 · 36 · 57 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21675,1174250] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:900:1] [-85:1550:1] |
Generators of the group modulo torsion |
j |
96550276/4805 |
j-invariant |
L |
11.773041690965 |
L(r)(E,1)/r! |
Ω |
0.61998691659119 |
Real period |
R |
1.1868236023743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800s2 12400e2 22320n2 |
Quadratic twists by: -4 -3 5 |