Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420k |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-4858969314528000 = -1 · 28 · 312 · 53 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15888,3441188] |
[a1,a2,a3,a4,a6] |
j |
-2376642789376/26036143875 |
j-invariant |
L |
2.2107745437603 |
L(r)(E,1)/r! |
Ω |
0.36846242396006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85680eq1 7140e1 107100bj1 |
Quadratic twists by: -4 -3 5 |