Atkin-Lehner |
2- 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430ba |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3530981659878540 = -1 · 22 · 312 · 5 · 7 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103880,-13243435] |
[a1,a2,a3,a4,a6] |
j |
-123970912046497595521/3530981659878540 |
j-invariant |
L |
4.2477346250851 |
L(r)(E,1)/r! |
Ω |
0.13274170703391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bb3 87150bg3 122010dd3 |
Quadratic twists by: -3 5 -7 |