Atkin-Lehner |
2+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
43616c |
Isogeny class |
Conductor |
43616 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
78400 |
Modular degree for the optimal curve |
Δ |
493580289536 = 29 · 295 · 47 |
Discriminant |
Eigenvalues |
2+ 2 3 2 0 -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18304,-946488] |
[a1,a2,a3,a4,a6] |
Generators |
[-102201:25578:1331] |
Generators of the group modulo torsion |
j |
1324693785811976/964024003 |
j-invariant |
L |
11.102382701736 |
L(r)(E,1)/r! |
Ω |
0.41046870148189 |
Real period |
R |
5.4096123098545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43616e1 87232e1 |
Quadratic twists by: -4 8 |