Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ca |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
259356749904000000 = 210 · 39 · 56 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44456475,114090803750] |
[a1,a2,a3,a4,a6] |
Generators |
[1015:264600:1] |
Generators of the group modulo torsion |
j |
7080974546692/189 |
j-invariant |
L |
7.4637514508827 |
L(r)(E,1)/r! |
Ω |
0.22655610991805 |
Real period |
R |
2.0590239911946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cr4 3528y4 12600m3 |
Quadratic twists by: -3 5 -7 |