Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
954f |
Isogeny class |
Conductor |
954 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-309096 = -1 · 23 · 36 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
1.6924692457099 |
L(r)(E,1)/r! |
Ω |
1.5511785481318 |
Real period |
R |
0.54554301558264 |
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 |
7632q1 30528m1 106a1 23850ch1 |
Quadratic twists by: -4 8 -3 5 |