Atkin-Lehner |
2- 3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430y |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-2168570880 = -1 · 210 · 36 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,290,1307] |
[a1,a2,a3,a4,a6] |
Generators |
[5:51:1] |
Generators of the group modulo torsion |
j |
2696647030559/2168570880 |
j-invariant |
L |
6.3040927149582 |
L(r)(E,1)/r! |
Ω |
0.94376617404509 |
Real period |
R |
0.33398594314618 |
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 |
52290t1 87150bq1 122010dg1 |
Quadratic twists by: -3 5 -7 |