Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44376h |
Isogeny class |
Conductor |
44376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
404544 |
Modular degree for the optimal curve |
Δ |
-215436907516741632 = -1 · 211 · 32 · 438 |
Discriminant |
Eigenvalues |
2- 3- 0 0 3 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132512,12453152] |
[a1,a2,a3,a4,a6] |
Generators |
[2386943:83371410:2197] |
Generators of the group modulo torsion |
j |
10750/9 |
j-invariant |
L |
8.2657382811668 |
L(r)(E,1)/r! |
Ω |
0.20436165214567 |
Real period |
R |
6.7411034917653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88752a1 44376b1 |
Quadratic twists by: -4 -43 |