Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424bc |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
73285632 = 214 · 32 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5969,-179505] |
[a1,a2,a3,a4,a6] |
Generators |
[2259:107328:1] |
Generators of the group modulo torsion |
j |
1435758069328/4473 |
j-invariant |
L |
6.9045860564537 |
L(r)(E,1)/r! |
Ω |
0.54314799175956 |
Real period |
R |
6.3560817220593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424bq1 11928i1 |
Quadratic twists by: -4 8 |