Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025ck |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-32993039626875 = -1 · 37 · 54 · 176 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 2 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21675,1258956] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:1300:1] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
3.9890848808352 |
L(r)(E,1)/r! |
Ω |
0.65386537097474 |
Real period |
R |
1.5251935098996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21675z1 65025bt2 225e1 |
Quadratic twists by: -3 5 17 |