Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57460c |
Isogeny class |
Conductor |
57460 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
1802764893410000 = 24 · 54 · 139 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2102585,1172785108] |
[a1,a2,a3,a4,a6] |
Generators |
[9834:169169:8] |
Generators of the group modulo torsion |
j |
13310810713145344/23343125 |
j-invariant |
L |
5.4962880297406 |
L(r)(E,1)/r! |
Ω |
0.40230459707187 |
Real period |
R |
3.415501630952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4420a1 |
Quadratic twists by: 13 |