Atkin-Lehner |
2- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872o |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-67425112496 = -1 · 24 · 78 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -4 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,275,-12278] |
[a1,a2,a3,a4,a6] |
Generators |
[618:5519:8] |
Generators of the group modulo torsion |
j |
143225913344/4214069531 |
j-invariant |
L |
6.2811900846363 |
L(r)(E,1)/r! |
Ω |
0.53071800870884 |
Real period |
R |
5.9176342058252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20468f1 |
Quadratic twists by: -4 |