Atkin-Lehner |
2+ 3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210m |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
128278080 = 26 · 34 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-179,-754] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:12:1] [-9:16:1] |
Generators of the group modulo torsion |
j |
629202484009/128278080 |
j-invariant |
L |
6.1413107994175 |
L(r)(E,1)/r! |
Ω |
1.3247979509959 |
Real period |
R |
1.1589146093561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bq1 106050bl1 |
Quadratic twists by: -3 5 |