Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616s |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
916883712 = 28 · 36 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,-578] |
[a1,a2,a3,a4,a6] |
j |
2000 |
j-invariant |
L |
2.5168793503637 |
L(r)(E,1)/r! |
Ω |
1.258439675238 |
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 |
20808bf1 4624c1 41616t1 |
Quadratic twists by: -4 -3 17 |