Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18620d |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-500714144000 = -1 · 28 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -6 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,964,-32360] |
[a1,a2,a3,a4,a6] |
Generators |
[26:98:1] |
Generators of the group modulo torsion |
j |
3286064/16625 |
j-invariant |
L |
3.0499539697141 |
L(r)(E,1)/r! |
Ω |
0.4678772565317 |
Real period |
R |
1.0864508896781 |
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 |
74480br1 93100j1 2660g1 |
Quadratic twists by: -4 5 -7 |