Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
99275b |
Isogeny class |
Conductor |
99275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5053756748046875 = 510 · 11 · 196 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-534167,-150094634] |
[a1,a2,a3,a4,a6] |
Generators |
[-426:338:1] [41582:2945459:8] |
Generators of the group modulo torsion |
j |
22930509321/6875 |
j-invariant |
L |
12.908831638685 |
L(r)(E,1)/r! |
Ω |
0.1765989296424 |
Real period |
R |
18.274221231434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19855b3 275a4 |
Quadratic twists by: 5 -19 |