Atkin-Lehner |
2- 3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16074h |
Isogeny class |
Conductor |
16074 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7840 |
Modular degree for the optimal curve |
Δ |
-3916397952 = -1 · 27 · 36 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,340,1711] |
[a1,a2,a3,a4,a6] |
Generators |
[29:173:1] |
Generators of the group modulo torsion |
j |
5979018375/5372288 |
j-invariant |
L |
7.8446947596786 |
L(r)(E,1)/r! |
Ω |
0.90913465954422 |
Real period |
R |
0.61633921234282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128592f1 1786c1 |
Quadratic twists by: -4 -3 |