Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43953s |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
46539238473 = 33 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-403835,-98810071] |
[a1,a2,a3,a4,a6] |
Generators |
[-3621956221455:1810221231359:9869198625] |
Generators of the group modulo torsion |
j |
61907860387592857/395577 |
j-invariant |
L |
9.8221625294479 |
L(r)(E,1)/r! |
Ω |
0.18938635896987 |
Real period |
R |
17.287697985678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279e1 |
Quadratic twists by: -7 |