Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800cr |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
19595788288000 = 231 · 53 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -1 1 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11713,-435103] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:160:1] |
Generators of the group modulo torsion |
j |
5423945093/598016 |
j-invariant |
L |
5.3307057405568 |
L(r)(E,1)/r! |
Ω |
0.4621968639474 |
Real period |
R |
2.8833524178365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999924663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800x1 29200z1 116800cv1 |
Quadratic twists by: -4 8 5 |