Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768y |
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 |
[-211:1716:1] [27:4096:1] |
Generators of the group modulo torsion |
j |
68921/10816 |
j-invariant |
L |
5.3593890282453 |
L(r)(E,1)/r! |
Ω |
0.25634394062713 |
Real period |
R |
5.2267561065941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768cw1 1274m1 40768br1 |
Quadratic twists by: -4 8 -7 |