Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675z |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-45257941875 = -1 · 3 · 54 · 176 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -2 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2408,-47431] |
[a1,a2,a3,a4,a6] |
Generators |
[354102:3687713:2744] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
13.13093994161 |
L(r)(E,1)/r! |
Ω |
0.34016590103876 |
Real period |
R |
6.4335960294236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025ck1 21675i2 75a1 |
Quadratic twists by: -3 5 17 |