Atkin-Lehner |
2- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20720m |
Isogeny class |
Conductor |
20720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
35534800 = 24 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292,1899] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:60:1] |
Generators of the group modulo torsion |
j |
172088672256/2220925 |
j-invariant |
L |
4.6313141788496 |
L(r)(E,1)/r! |
Ω |
2.0691621234679 |
Real period |
R |
2.2382558265118 |
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 |
5180e1 82880y1 103600bp1 |
Quadratic twists by: -4 8 5 |