Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22880a |
Isogeny class |
Conductor |
22880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1222974820982886400 = -1 · 212 · 52 · 114 · 138 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112321,-55181745] |
[a1,a2,a3,a4,a6] |
Generators |
[487:2420:1] |
Generators of the group modulo torsion |
j |
-38260488858209344/298577837154025 |
j-invariant |
L |
2.047624039232 |
L(r)(E,1)/r! |
Ω |
0.11503780405085 |
Real period |
R |
2.2249468947693 |
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 |
22880f2 45760y1 114400x2 |
Quadratic twists by: -4 8 5 |