Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768u |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
8479744 = 210 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177,-839] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1:1] [16:13:1] |
Generators of the group modulo torsion |
j |
12291328/169 |
j-invariant |
L |
6.4153320295299 |
L(r)(E,1)/r! |
Ω |
1.3093730586617 |
Real period |
R |
2.4497724262356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768cq1 5096d1 40768g1 |
Quadratic twists by: -4 8 -7 |