Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896br |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-30528700416 = -1 · 216 · 38 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,-6640] |
[a1,a2,a3,a4,a6] |
Generators |
[26:160:1] |
Generators of the group modulo torsion |
j |
415292/639 |
j-invariant |
L |
5.0139789800491 |
L(r)(E,1)/r! |
Ω |
0.62083684430294 |
Real period |
R |
2.0190405200888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40896bc1 10224b1 13632o1 |
Quadratic twists by: -4 8 -3 |