Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730z |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-10735200 = -1 · 25 · 33 · 52 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52,47] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-17:1] |
Generators of the group modulo torsion |
j |
586376253/397600 |
j-invariant |
L |
9.1390613006907 |
L(r)(E,1)/r! |
Ω |
1.4348497533656 |
Real period |
R |
0.318467535686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44730f1 |
Quadratic twists by: -3 |