Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768dr |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-542061054918656 = -1 · 221 · 76 · 133 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14177,-1290239] |
[a1,a2,a3,a4,a6] |
j |
-10218313/17576 |
j-invariant |
L |
1.2401429050648 |
L(r)(E,1)/r! |
Ω |
0.20669048418213 |
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 |
40768bl2 10192u2 832g2 |
Quadratic twists by: -4 8 -7 |