Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
954h |
Isogeny class |
Conductor |
954 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
112 |
Modular degree for the optimal curve |
Δ |
-183168 = -1 · 27 · 33 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 1 -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11,27] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
-5000211/6784 |
j-invariant |
L |
2.9846183138115 |
L(r)(E,1)/r! |
Ω |
2.8839207270915 |
Real period |
R |
0.07392263608789 |
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 |
7632e1 30528a1 954a1 23850b1 |
Quadratic twists by: -4 8 -3 5 |