Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664eb |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-256031740919808 = -1 · 219 · 38 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15871,-15873] |
[a1,a2,a3,a4,a6] |
j |
1686433811327/976683582 |
j-invariant |
L |
2.6332837208686 |
L(r)(E,1)/r! |
Ω |
0.32916046511193 |
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 |
41664l3 10416y4 124992fx3 |
Quadratic twists by: -4 8 -3 |