Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bl |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
105435693081600 = 210 · 3 · 52 · 74 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38350,2844932] |
[a1,a2,a3,a4,a6] |
Generators |
[52:970:1] |
Generators of the group modulo torsion |
j |
6237643138951442401/105435693081600 |
j-invariant |
L |
9.4002106547248 |
L(r)(E,1)/r! |
Ω |
0.59654040231827 |
Real period |
R |
0.52526258731143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290n1 87150l1 122010bn1 |
Quadratic twists by: -3 5 -7 |