Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216be |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2239753304865024 = -1 · 28 · 38 · 132 · 534 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109119,-14059510] |
[a1,a2,a3,a4,a6] |
Generators |
[5287397833833309427522:-16994511366793726487985:13675820937910990984] |
Generators of the group modulo torsion |
j |
-769940829233872/12001421601 |
j-invariant |
L |
8.0476516758241 |
L(r)(E,1)/r! |
Ω |
0.1312176455956 |
Real period |
R |
30.665279882042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24804e2 33072n2 |
Quadratic twists by: -4 -3 |