Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91035i |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-172755128109375 = -1 · 38 · 56 · 73 · 173 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3465,626616] |
[a1,a2,a3,a4,a6] |
Generators |
[-474:3909:8] [174:6663:8] |
Generators of the group modulo torsion |
j |
1284365503/48234375 |
j-invariant |
L |
11.699242948562 |
L(r)(E,1)/r! |
Ω |
0.43218419067033 |
Real period |
R |
6.7675097802684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30345bg1 91035bq1 |
Quadratic twists by: -3 17 |