Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20640q |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
1857600 = 26 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1546,23920] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
6389297223616/29025 |
j-invariant |
L |
2.9764699834059 |
L(r)(E,1)/r! |
Ω |
2.3276370859901 |
Real period |
R |
1.2787517441276 |
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 |
20640g1 41280bq2 61920bc1 103200w1 |
Quadratic twists by: -4 8 -3 5 |