Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21105l |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4487450625 = 37 · 54 · 72 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1922,32744] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:136:1] [-21:262:1] |
Generators of the group modulo torsion |
j |
1076575468249/6155625 |
j-invariant |
L |
5.2106164899332 |
L(r)(E,1)/r! |
Ω |
1.385388530335 |
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 |
7035h1 105525p1 |
Quadratic twists by: -3 5 |