Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008bc |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
12780938550096 = 24 · 34 · 43 · 475 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 6 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9909,335178] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:846:1] |
Generators of the group modulo torsion |
j |
6725693039706112/798808659381 |
j-invariant |
L |
9.984511479501 |
L(r)(E,1)/r! |
Ω |
0.68631063631601 |
Real period |
R |
0.72740468723344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24252a1 |
Quadratic twists by: -4 |