Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200m |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-206080000 = -1 · 211 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,688] |
[a1,a2,a3,a4,a6] |
Generators |
[7:32:1] |
Generators of the group modulo torsion |
j |
-50/161 |
j-invariant |
L |
3.9552890425057 |
L(r)(E,1)/r! |
Ω |
1.430322921279 |
Real period |
R |
2.7653119331744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400x1 32200q1 |
Quadratic twists by: -4 5 |