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 |
Δ |
2417050243882287104 = 221 · 79 · 134 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-859329,297060511] |
[a1,a2,a3,a4,a6] |
Generators |
[-915:17836:1] [-229:21952:1] |
Generators of the group modulo torsion |
j |
6634074439/228488 |
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 |
40768cw2 1274m2 40768br2 |
Quadratic twists by: -4 8 -7 |