Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bh |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-33346859868000 = -1 · 25 · 315 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37811,2840385] |
[a1,a2,a3,a4,a6] |
Generators |
[106:109:1] |
Generators of the group modulo torsion |
j |
-5978316732522887089/33346859868000 |
j-invariant |
L |
8.9874652746973 |
L(r)(E,1)/r! |
Ω |
0.65915127470863 |
Real period |
R |
0.18179873866173 |
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 |
52290bk1 87150a1 122010cf1 |
Quadratic twists by: -3 5 -7 |