Atkin-Lehner |
2+ 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954c |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
428318604 = 22 · 35 · 72 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-417,-3303] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:13:1] [-13:18:1] |
Generators of the group modulo torsion |
j |
164271447529/8741196 |
j-invariant |
L |
7.9818982457809 |
L(r)(E,1)/r! |
Ω |
1.0596582319711 |
Real period |
R |
1.8831303351027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954p1 |
Quadratic twists by: -7 |