Atkin-Lehner |
2+ 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560x |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-462004940602800 = -1 · 24 · 37 · 52 · 76 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10565,-942400] |
[a1,a2,a3,a4,a6] |
Generators |
[260:4410:1] |
Generators of the group modulo torsion |
j |
8150253671266304/28875308787675 |
j-invariant |
L |
9.3808076019121 |
L(r)(E,1)/r! |
Ω |
0.26810750178664 |
Real period |
R |
0.83307091492371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280c1 |
Quadratic twists by: -4 |