Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114376a |
Isogeny class |
Conductor |
114376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-14640128 = -1 · 210 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 -3 -5 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,174] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
3132/17 |
j-invariant |
L |
3.6342353680254 |
L(r)(E,1)/r! |
Ω |
1.6013530733286 |
Real period |
R |
1.1347389432341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999440825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114376f1 |
Quadratic twists by: 29 |