Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640ct |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-21180801242160 = -1 · 24 · 38 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2058,-218491] |
[a1,a2,a3,a4,a6] |
Generators |
[50:97:1] |
Generators of the group modulo torsion |
j |
2048/45 |
j-invariant |
L |
5.5892900702036 |
L(r)(E,1)/r! |
Ω |
0.33038906299676 |
Real period |
R |
4.2293243755608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280cp1 5880d1 88200cx1 17640ci1 |
Quadratic twists by: -4 -3 5 -7 |