Atkin-Lehner |
2- 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430z |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1361718750 = 2 · 3 · 58 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18605,-984523] |
[a1,a2,a3,a4,a6] |
j |
712220047730467921/1361718750 |
j-invariant |
L |
3.2702582603824 |
L(r)(E,1)/r! |
Ω |
0.4087822825478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290y4 87150be4 122010cy4 |
Quadratic twists by: -3 5 -7 |