Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952n |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
14288104512 = 26 · 35 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-698,-3936] |
[a1,a2,a3,a4,a6] |
j |
588480472000/223251633 |
j-invariant |
L |
1.9175919559519 |
L(r)(E,1)/r! |
Ω |
0.95879597797593 |
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 |
17952g1 35904be1 53856e1 |
Quadratic twists by: -4 8 -3 |