Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660m |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
1501297920 = 28 · 32 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1925,33105] |
[a1,a2,a3,a4,a6] |
Generators |
[32:57:1] |
Generators of the group modulo torsion |
j |
23658496/45 |
j-invariant |
L |
4.4768522421461 |
L(r)(E,1)/r! |
Ω |
1.5110075637835 |
Real period |
R |
0.4938043053136 |
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 |
86640dx1 64980o1 108300bo1 21660bf1 |
Quadratic twists by: -4 -3 5 -19 |