Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850i |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-3.41166698712E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19160575,32275277125] |
[a1,a2,a3,a4,a6] |
j |
-1991541343509695978905/87338674870272 |
j-invariant |
L |
1.1674625165077 |
L(r)(E,1)/r! |
Ω |
0.19457708608461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550ei1 17850ce1 124950eh1 |
Quadratic twists by: -3 5 -7 |