Atkin-Lehner |
3+ 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17157a |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-117679863 = -1 · 3 · 7 · 194 · 43 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101,-696] |
[a1,a2,a3,a4,a6] |
j |
-115714886617/117679863 |
j-invariant |
L |
0.72251884132726 |
L(r)(E,1)/r! |
Ω |
0.72251884132726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51471g1 120099n1 |
Quadratic twists by: -3 -7 |