Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650cw |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
895895437500 = 22 · 36 · 56 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2988,43092] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:330:1] |
Generators of the group modulo torsion |
j |
188822850553/57337308 |
j-invariant |
L |
10.019616556287 |
L(r)(E,1)/r! |
Ω |
0.82159669803757 |
Real period |
R |
1.0162748320904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2226d2 |
Quadratic twists by: 5 |