Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4140c |
Isogeny class |
Conductor |
4140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-27162540000000 = -1 · 28 · 310 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 -2 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7608,-357932] |
[a1,a2,a3,a4,a6] |
Generators |
[1781:75069:1] |
Generators of the group modulo torsion |
j |
-260956266496/145546875 |
j-invariant |
L |
3.197007922271 |
L(r)(E,1)/r! |
Ω |
0.24914444792224 |
Real period |
R |
6.4159726394321 |
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 |
16560bq1 66240cp1 1380e1 20700o1 |
Quadratic twists by: -4 8 -3 5 |