Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768br |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-972524879872 = -1 · 224 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,383,-47487] |
[a1,a2,a3,a4,a6] |
Generators |
[20091:547840:27] |
Generators of the group modulo torsion |
j |
68921/10816 |
j-invariant |
L |
9.5106993219547 |
L(r)(E,1)/r! |
Ω |
0.41574435991027 |
Real period |
R |
5.7190789816154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768eb1 1274j1 40768y1 |
Quadratic twists by: -4 8 -7 |