Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782p |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2102871223631024 = 24 · 74 · 117 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319042598,2193496349380] |
[a1,a2,a3,a4,a6] |
Generators |
[-15309:1875713:1] [-5156:1926478:1] |
Generators of the group modulo torsion |
j |
2027279465581935132760977/1187015984 |
j-invariant |
L |
7.4239668441668 |
L(r)(E,1)/r! |
Ω |
0.19940827152473 |
Real period |
R |
9.3074961069246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000737 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8162g3 |
Quadratic twists by: -11 |