Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420x |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4820406066000 = 24 · 310 · 53 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5052,89129] |
[a1,a2,a3,a4,a6] |
Generators |
[208:-2835:1] |
Generators of the group modulo torsion |
j |
1222548865024/413272125 |
j-invariant |
L |
6.0640200634998 |
L(r)(E,1)/r! |
Ω |
0.70900103782132 |
Real period |
R |
0.2375807548625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680ey1 7140d1 107100be1 |
Quadratic twists by: -4 -3 5 |