Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644h |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-1.2424302684477E+20 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 3 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1258980,-764116396] |
[a1,a2,a3,a4,a6] |
Generators |
[868238021697826:280527790868856299:8316073576] |
Generators of the group modulo torsion |
j |
-728871512656/410338673 |
j-invariant |
L |
5.2780185406634 |
L(r)(E,1)/r! |
Ω |
0.069451587851029 |
Real period |
R |
18.998912422221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56644c1 3332e1 |
Quadratic twists by: -7 17 |