Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97006p |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-8431506976256 = -1 · 29 · 73 · 134 · 412 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5327,204281] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:565:1] |
Generators of the group modulo torsion |
j |
-585333645793/295210496 |
j-invariant |
L |
7.5793037796383 |
L(r)(E,1)/r! |
Ω |
0.6848911027453 |
Real period |
R |
0.61480201723931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001532 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97006d1 |
Quadratic twists by: 13 |