Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850be |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-4549929300 = -1 · 22 · 33 · 52 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,127,3251] |
[a1,a2,a3,a4,a6] |
j |
9056932295/181997172 |
j-invariant |
L |
2.0568199508891 |
L(r)(E,1)/r! |
Ω |
1.0284099754446 |
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 |
53550bj1 17850ba1 124950io1 |
Quadratic twists by: -3 5 -7 |