Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905h |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
23972822015625 = 34 · 56 · 77 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11271,391068] |
[a1,a2,a3,a4,a6] |
Generators |
[34:203:1] |
Generators of the group modulo torsion |
j |
1345938541921/203765625 |
j-invariant |
L |
2.321653969883 |
L(r)(E,1)/r! |
Ω |
0.6458757403523 |
Real period |
R |
0.89864575522556 |
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 |
50715bn1 84525bw1 2415i1 |
Quadratic twists by: -3 5 -7 |