Atkin-Lehner |
3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28035d |
Isogeny class |
Conductor |
28035 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-8517232188675 = -1 · 313 · 52 · 74 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1752,-137547] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-851:1] |
Generators of the group modulo torsion |
j |
815827779584/11683446075 |
j-invariant |
L |
4.1017533920458 |
L(r)(E,1)/r! |
Ω |
0.3595289001003 |
Real period |
R |
0.35652152988444 |
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 |
9345d1 |
Quadratic twists by: -3 |