Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
336d |
Isogeny class |
Conductor |
336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-17279298183168 = -1 · 213 · 316 · 72 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6176,-69388] |
[a1,a2,a3,a4,a6] |
j |
6359387729183/4218578658 |
j-invariant |
L |
1.5769867712158 |
L(r)(E,1)/r! |
Ω |
0.39424669280395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42a6 1344m6 1008l6 8400bl6 |
Quadratic twists by: -4 8 -3 5 |