Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dc |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-275968000 = -1 · 212 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,-800] |
[a1,a2,a3,a4,a6] |
Generators |
[24:112:1] |
Generators of the group modulo torsion |
j |
-1728/539 |
j-invariant |
L |
5.4354136621087 |
L(r)(E,1)/r! |
Ω |
0.77824252668768 |
Real period |
R |
1.7460538966703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200cw1 61600cb1 123200ck1 |
Quadratic twists by: -4 8 5 |