Atkin-Lehner |
2- 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430br |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
211774500 = 22 · 36 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1495,-22363] |
[a1,a2,a3,a4,a6] |
j |
369543396484081/211774500 |
j-invariant |
L |
6.910272779396 |
L(r)(E,1)/r! |
Ω |
0.76780808659956 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290v1 87150d1 122010bq1 |
Quadratic twists by: -3 5 -7 |