Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8925b |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-251167425444140625 = -1 · 38 · 58 · 78 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44625,24365250] |
[a1,a2,a3,a4,a6] |
Generators |
[14260:316345:64] |
Generators of the group modulo torsion |
j |
-629004249876241/16074715228425 |
j-invariant |
L |
3.8367857103777 |
L(r)(E,1)/r! |
Ω |
0.26095323449071 |
Real period |
R |
7.3514814213086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26775bf3 1785o4 62475cg3 |
Quadratic twists by: -3 5 -7 |