Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976j |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
50762565568512 = 211 · 36 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21315,1147678] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:882:1] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
6.1282159915806 |
L(r)(E,1)/r! |
Ω |
0.62568779365146 |
Real period |
R |
2.4485917950629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952t2 6664e2 1224d2 |
Quadratic twists by: -4 -3 -7 |