Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648ba |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
18404610048 = 212 · 35 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672,1332] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:72:1] |
Generators of the group modulo torsion |
j |
8205738913/4493313 |
j-invariant |
L |
7.2624779035326 |
L(r)(E,1)/r! |
Ω |
1.0659386229457 |
Real period |
R |
0.68132233387536 |
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 |
1353b1 86592ci1 64944bt1 |
Quadratic twists by: -4 8 -3 |