Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520cm |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
457600 |
Modular degree for the optimal curve |
Δ |
-209201169409400000 = -1 · 26 · 55 · 711 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92015,-19236025] |
[a1,a2,a3,a4,a6] |
Generators |
[290:5635:1] |
Generators of the group modulo torsion |
j |
1346216501445963776/3268768272021875 |
j-invariant |
L |
3.837168429732 |
L(r)(E,1)/r! |
Ω |
0.16350586639388 |
Real period |
R |
0.21334616384165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520t1 12880t1 |
Quadratic twists by: -4 8 |