Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768dc |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2905108466204672 = -1 · 215 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3 2 7- -3 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50764,-5109328] |
[a1,a2,a3,a4,a6] |
Generators |
[144282:10537624:27] |
Generators of the group modulo torsion |
j |
-10941048/2197 |
j-invariant |
L |
11.637345093896 |
L(r)(E,1)/r! |
Ω |
0.15732917346827 |
Real period |
R |
9.246016518546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768df1 20384v1 40768ef1 |
Quadratic twists by: -4 8 -7 |