Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21105l |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1767876048225 = 38 · 52 · 74 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3047,-9106] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:133:1] [-48:181:1] |
Generators of the group modulo torsion |
j |
4290223486249/2425070025 |
j-invariant |
L |
5.2106164899332 |
L(r)(E,1)/r! |
Ω |
0.69269426516752 |
Real period |
R |
1.8805614366803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7035h2 105525p2 |
Quadratic twists by: -3 5 |