Atkin-Lehner |
7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22253f |
Isogeny class |
Conductor |
22253 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-378301 = -1 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
1 -2 -3 7- 11+ -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15,35] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] [7:13:1] |
Generators of the group modulo torsion |
j |
-68921/77 |
j-invariant |
L |
5.6409036137642 |
L(r)(E,1)/r! |
Ω |
2.7321196854981 |
Real period |
R |
1.0323309852983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22253c1 |
Quadratic twists by: 17 |