Atkin-Lehner |
2- 3- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954ce |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
493056 |
Modular degree for the optimal curve |
Δ |
4934420681904 = 24 · 33 · 74 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12202,-508684] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:98:1] |
Generators of the group modulo torsion |
j |
83680995588673/2055152304 |
j-invariant |
L |
8.0699045749578 |
L(r)(E,1)/r! |
Ω |
0.45492705128505 |
Real period |
R |
0.36956037687421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999996759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954bp1 |
Quadratic twists by: -7 |