Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336h |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
392768 = 26 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 2 2 2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29,52] |
[a1,a2,a3,a4,a6] |
j |
42144192/6137 |
j-invariant |
L |
2.8811305278527 |
L(r)(E,1)/r! |
Ω |
2.8811305278527 |
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 |
10336b1 20672g2 93024m1 |
Quadratic twists by: -4 8 -3 |