Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770a |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35173327226400 = -1 · 25 · 33 · 52 · 11 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1830,-284204] |
[a1,a2,a3,a4,a6] |
Generators |
[57:25:1] |
Generators of the group modulo torsion |
j |
25094567676933/1302715823200 |
j-invariant |
L |
2.9190598494308 |
L(r)(E,1)/r! |
Ω |
0.31232810607789 |
Real period |
R |
4.6730662284726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770bf2 113850dg2 |
Quadratic twists by: -3 5 |