Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768dg |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-275039854788608 = -1 · 219 · 79 · 13 |
Discriminant |
Eigenvalues |
2- -3 -4 7- 1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10388,-686000] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1372:1] |
Generators of the group modulo torsion |
j |
4019679/8918 |
j-invariant |
L |
2.5797097162764 |
L(r)(E,1)/r! |
Ω |
0.28535033826126 |
Real period |
R |
1.1300624926522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bb1 10192bm1 5824bf1 |
Quadratic twists by: -4 8 -7 |