Atkin-Lehner |
2- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43792l |
Isogeny class |
Conductor |
43792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
780627083264 = 224 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15851,-766950] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:34:1] |
Generators of the group modulo torsion |
j |
107531019181377/190582784 |
j-invariant |
L |
4.6005603541956 |
L(r)(E,1)/r! |
Ω |
0.42553141098161 |
Real period |
R |
1.3514162043798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474e1 |
Quadratic twists by: -4 |