Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628q |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-74368387450596096 = -1 · 28 · 36 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98736,-5435804] |
[a1,a2,a3,a4,a6] |
Generators |
[660:-18634:1] [405:10049:1] |
Generators of the group modulo torsion |
j |
321978368/224939 |
j-invariant |
L |
7.9750087431832 |
L(r)(E,1)/r! |
Ω |
0.19472461567798 |
Real period |
R |
1.7064716230623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6292d1 5148d1 |
Quadratic twists by: -3 -11 |