Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560cm |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-87162880000000 = -1 · 223 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 1 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4481,-465281] |
[a1,a2,a3,a4,a6] |
Generators |
[802:22637:1] |
Generators of the group modulo torsion |
j |
-37966934881/332500000 |
j-invariant |
L |
3.4538566348233 |
L(r)(E,1)/r! |
Ω |
0.25578036277934 |
Real period |
R |
6.7516063338439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560j1 10640be1 |
Quadratic twists by: -4 8 |