Atkin-Lehner |
3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114873f |
Isogeny class |
Conductor |
114873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
246376496997081 = 32 · 11 · 597 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50547,-4329504] |
[a1,a2,a3,a4,a6] |
Generators |
[-1894253270:4686522702:14706125] |
Generators of the group modulo torsion |
j |
338608873/5841 |
j-invariant |
L |
4.9758746080235 |
L(r)(E,1)/r! |
Ω |
0.31873528840048 |
Real period |
R |
15.611307399315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947a1 |
Quadratic twists by: -59 |