Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ff |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3933840701235658752 = -1 · 221 · 32 · 76 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127073,-96963327] |
[a1,a2,a3,a4,a6] |
Generators |
[317305:15777216:125] |
Generators of the group modulo torsion |
j |
-7357983625/127552392 |
j-invariant |
L |
5.1809162545745 |
L(r)(E,1)/r! |
Ω |
0.10651582640421 |
Real period |
R |
6.079984103763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ds4 25872cw4 2112x4 |
Quadratic twists by: -4 8 -7 |