Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698h |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
52932106177434 = 2 · 310 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11- -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71634,7341426] |
[a1,a2,a3,a4,a6] |
Generators |
[147:48:1] [149:-14:1] |
Generators of the group modulo torsion |
j |
22947463187713/29878794 |
j-invariant |
L |
3.6687612949152 |
L(r)(E,1)/r! |
Ω |
0.62940698711488 |
Real period |
R |
0.7286146662694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50094cm1 1518l1 |
Quadratic twists by: -3 -11 |