Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768ck |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-325757845504 = -1 · 214 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 0 2 7- -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196,-27440] |
[a1,a2,a3,a4,a6] |
Generators |
[78:680:1] |
Generators of the group modulo torsion |
j |
432/169 |
j-invariant |
L |
5.7878001738347 |
L(r)(E,1)/r! |
Ω |
0.45192978471747 |
Real period |
R |
3.2017142759521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40768l2 10192be2 832h2 |
Quadratic twists by: -4 8 -7 |