Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dk |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1100159419154432 = -1 · 221 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,1718303] |
[a1,a2,a3,a4,a6] |
j |
-29791/104 |
j-invariant |
L |
3.4325457118837 |
L(r)(E,1)/r! |
Ω |
0.42906821397969 |
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 |
40768bp1 10192w1 40768cs1 |
Quadratic twists by: -4 8 -7 |