Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896z |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
1696038912 = 215 · 36 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 -2 7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3276,72144] |
[a1,a2,a3,a4,a6] |
Generators |
[34:8:1] |
Generators of the group modulo torsion |
j |
162771336/71 |
j-invariant |
L |
5.0949051141626 |
L(r)(E,1)/r! |
Ω |
1.4708896169404 |
Real period |
R |
0.86595640071927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896q1 20448l1 4544d1 |
Quadratic twists by: -4 8 -3 |