Atkin-Lehner |
2+ 3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570i |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-769818860550 = -1 · 2 · 315 · 52 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6444,205150] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1742:1] |
Generators of the group modulo torsion |
j |
-40597630665409/1055992950 |
j-invariant |
L |
5.0679145941414 |
L(r)(E,1)/r! |
Ω |
0.89553617544469 |
Real period |
R |
0.70738552325949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999716321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32190o1 |
Quadratic twists by: -3 |