Atkin-Lehner |
2- 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18156b |
Isogeny class |
Conductor |
18156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4944 |
Modular degree for the optimal curve |
Δ |
-103416576 = -1 · 28 · 3 · 17 · 892 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -3 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,687] |
[a1,a2,a3,a4,a6] |
Generators |
[42:267:1] |
Generators of the group modulo torsion |
j |
-850518016/403971 |
j-invariant |
L |
5.5373931390372 |
L(r)(E,1)/r! |
Ω |
1.7609593706508 |
Real period |
R |
1.5722660134375 |
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 |
72624l1 54468c1 |
Quadratic twists by: -4 -3 |