Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dp |
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 1 7- -1 13- 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-345,-2351] |
[a1,a2,a3,a4,a6] |
j |
90770176/169 |
j-invariant |
L |
2.2152283347394 |
L(r)(E,1)/r! |
Ω |
1.1076141673812 |
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 |
40768bi1 10192s1 40768bx1 |
Quadratic twists by: -4 8 -7 |