Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cw |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-114416579592060928 = -1 · 224 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18751,-16250527] |
[a1,a2,a3,a4,a6] |
Generators |
[28454657:1377252864:12167] |
Generators of the group modulo torsion |
j |
68921/10816 |
j-invariant |
L |
7.6166619338841 |
L(r)(E,1)/r! |
Ω |
0.15713659790004 |
Real period |
R |
12.117899387654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768y1 10192bk1 40768eb1 |
Quadratic twists by: -4 8 -7 |