Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832x |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1060045517225984 = -1 · 223 · 175 · 89 |
Discriminant |
Eigenvalues |
2- -1 -1 2 2 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22079,919649] |
[a1,a2,a3,a4,a6] |
Generators |
[247:4624:1] |
Generators of the group modulo torsion |
j |
4540485764879/4043752736 |
j-invariant |
L |
5.6433377971919 |
L(r)(E,1)/r! |
Ω |
0.32028795715499 |
Real period |
R |
1.7619575336774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96832e1 24208g1 |
Quadratic twists by: -4 8 |