Atkin-Lehner |
2- 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370bt |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-649160831250000 = -1 · 24 · 36 · 58 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21782,1747189] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-799:1] |
Generators of the group modulo torsion |
j |
-1567728136054809/890481250000 |
j-invariant |
L |
10.420944918773 |
L(r)(E,1)/r! |
Ω |
0.47502798034352 |
Real period |
R |
0.11425801643534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4930a1 |
Quadratic twists by: -3 |