Atkin-Lehner |
3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28035i |
Isogeny class |
Conductor |
28035 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-53648476875 = -1 · 39 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -2 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6807,216450] |
[a1,a2,a3,a4,a6] |
Generators |
[48:17:1] [53:-68:1] |
Generators of the group modulo torsion |
j |
-47847961022464/73591875 |
j-invariant |
L |
4.7241761067854 |
L(r)(E,1)/r! |
Ω |
1.1196861853468 |
Real period |
R |
0.13184989264765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9345c1 |
Quadratic twists by: -3 |