Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896w |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-5151399115189248 = -1 · 210 · 311 · 734 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -6 -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40856,-1336000] |
[a1,a2,a3,a4,a6] |
Generators |
[608:15768:1] |
Generators of the group modulo torsion |
j |
259351772/177147 |
j-invariant |
L |
4.4897448420625 |
L(r)(E,1)/r! |
Ω |
0.24406487749346 |
Real period |
R |
0.27872276000175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896v1 |
Quadratic twists by: 73 |