Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088t |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-52386103296 = -1 · 215 · 37 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -5 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3272,71796] |
[a1,a2,a3,a4,a6] |
Generators |
[46:144:1] |
Generators of the group modulo torsion |
j |
-946098541513/12789576 |
j-invariant |
L |
5.7299857669043 |
L(r)(E,1)/r! |
Ω |
1.1264314246605 |
Real period |
R |
0.18167315323228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4386c1 105264bs1 |
Quadratic twists by: -4 -3 |