Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ex |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-55508992000000 = -1 · 222 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23233,1401663] |
[a1,a2,a3,a4,a6] |
Generators |
[79:256:1] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
4.194680551025 |
L(r)(E,1)/r! |
Ω |
0.62353252585851 |
Real period |
R |
1.6818210685104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bq1 30800bc1 4928bi1 |
Quadratic twists by: -4 8 5 |