Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654o |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-17024280896 = -1 · 26 · 77 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4117,100155] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-70:1] |
Generators of the group modulo torsion |
j |
-65597103937/144704 |
j-invariant |
L |
3.6951509813709 |
L(r)(E,1)/r! |
Ω |
1.2354560030737 |
Real period |
R |
0.12462169744671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522e1 |
Quadratic twists by: -7 |