Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
850l |
Isogeny class |
Conductor |
850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
112 |
Modular degree for the optimal curve |
Δ |
-272000 = -1 · 27 · 53 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -6 -3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18,31] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-13:1] |
Generators of the group modulo torsion |
j |
-5177717/2176 |
j-invariant |
L |
2.7415419874287 |
L(r)(E,1)/r! |
Ω |
2.9004989556244 |
Real period |
R |
0.067514048675573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6800u1 27200bc1 7650bf1 850c1 |
Quadratic twists by: -4 8 -3 5 |