Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21160g |
Isogeny class |
Conductor |
21160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
10580000000 = 28 · 57 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 5 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4201,-103299] |
[a1,a2,a3,a4,a6] |
Generators |
[-12831:3522:343] |
Generators of the group modulo torsion |
j |
60560505856/78125 |
j-invariant |
L |
7.0182873817199 |
L(r)(E,1)/r! |
Ω |
0.59304331186278 |
Real period |
R |
5.9171794381047 |
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 |
42320e1 105800k1 21160i1 |
Quadratic twists by: -4 5 -23 |