Atkin-Lehner |
2+ 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710z |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4744224 |
Modular degree for the optimal curve |
Δ |
-5.5716769832755E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1769396,-684735094] |
[a1,a2,a3,a4,a6] |
Generators |
[12739582913803872:910932918919052927:2627500721399] |
Generators of the group modulo torsion |
j |
87822908801351/79872000000 |
j-invariant |
L |
4.5450749956572 |
L(r)(E,1)/r! |
Ω |
0.089912088216384 |
Real period |
R |
25.275105304634 |
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 |
112710i1 |
Quadratic twists by: 17 |