Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050do |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
7557993421580250000 = 24 · 310 · 56 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-784988,232670592] |
[a1,a2,a3,a4,a6] |
Generators |
[202:8974:1] |
Generators of the group modulo torsion |
j |
3423676911662954233/483711578981136 |
j-invariant |
L |
8.644483767424 |
L(r)(E,1)/r! |
Ω |
0.22542826790315 |
Real period |
R |
0.31955781499188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84150bm2 1122b2 |
Quadratic twists by: -3 5 |