Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200fa |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-453874312332000000 = -1 · 28 · 39 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,99225,30098250] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:5292:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
6.5154592242383 |
L(r)(E,1)/r! |
Ω |
0.21191625968294 |
Real period |
R |
1.9215901699964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200u2 3528e2 12600bj2 |
Quadratic twists by: -3 5 -7 |