Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768t |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1433076736 = 210 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 1 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,617] |
[a1,a2,a3,a4,a6] |
j |
53385472/28561 |
j-invariant |
L |
2.6517092259636 |
L(r)(E,1)/r! |
Ω |
1.3258546130147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768cp1 5096e1 40768h1 |
Quadratic twists by: -4 8 -7 |