Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336h |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22491136 = 212 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 2 2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,-480] |
[a1,a2,a3,a4,a6] |
j |
51478848/5491 |
j-invariant |
L |
2.8811305278527 |
L(r)(E,1)/r! |
Ω |
1.4405652639263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10336b2 20672g1 93024m2 |
Quadratic twists by: -4 8 -3 |