Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160cd |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-118855036523520000 = -1 · 213 · 312 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55880,-15769900] |
[a1,a2,a3,a4,a6] |
Generators |
[1070:-35640:1] |
Generators of the group modulo torsion |
j |
4711131042738119/29017342901250 |
j-invariant |
L |
7.1622086279029 |
L(r)(E,1)/r! |
Ω |
0.16579754950313 |
Real period |
R |
0.22499228757347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270d2 |
Quadratic twists by: -4 |