Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462k |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
16566412400118 = 2 · 39 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8111,201044] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:414:1] |
Generators of the group modulo torsion |
j |
10234947625/2873718 |
j-invariant |
L |
4.6368279787621 |
L(r)(E,1)/r! |
Ω |
0.64735321132929 |
Real period |
R |
2.3875826970569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
64386bg1 21462c1 |
Quadratic twists by: -3 -7 |