Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
22880f |
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 |
[-432:4785:1] |
Generators of the group modulo torsion |
j |
-38260488858209344/298577837154025 |
j-invariant |
L |
7.5012451686201 |
L(r)(E,1)/r! |
Ω |
0.23422696332383 |
Real period |
R |
4.0031925990569 |
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 |
22880a2 45760r1 114400i2 |
Quadratic twists by: -4 8 5 |