Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dj |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
-7.6386214030612E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,137000,-420035008] |
[a1,a2,a3,a4,a6] |
Generators |
[872:18608:1] |
Generators of the group modulo torsion |
j |
1920959458991/515997941760 |
j-invariant |
L |
14.887564948353 |
L(r)(E,1)/r! |
Ω |
0.090952672134517 |
Real period |
R |
1.1691767492819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bf1 |
Quadratic twists by: -23 |