Atkin-Lehner |
2- 3+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152r |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
2071296 = 28 · 32 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 0 4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
20720464/8091 |
j-invariant |
L |
5.086217396457 |
L(r)(E,1)/r! |
Ω |
2.0104308082951 |
Real period |
R |
1.2649570866792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10788b1 129456by1 |
Quadratic twists by: -4 -3 |