Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24276h |
Isogeny class |
Conductor |
24276 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
477360 |
Modular degree for the optimal curve |
Δ |
-1.3332751468693E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139202,174583637] |
[a1,a2,a3,a4,a6] |
Generators |
[233:14823:1] |
Generators of the group modulo torsion |
j |
9248000/413343 |
j-invariant |
L |
6.9574996361152 |
L(r)(E,1)/r! |
Ω |
0.16967334869895 |
Real period |
R |
4.1005259161001 |
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 |
97104bv1 72828j1 24276f1 |
Quadratic twists by: -4 -3 17 |