Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ca |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
5959520179200 = 210 · 36 · 52 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67977,-6803699] |
[a1,a2,a3,a4,a6] |
Generators |
[-4074:2821:27] |
Generators of the group modulo torsion |
j |
1906100306841145/326996992 |
j-invariant |
L |
5.1282463948621 |
L(r)(E,1)/r! |
Ω |
0.29567406179364 |
Real period |
R |
1.7344255236853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650y1 59850ft2 |
Quadratic twists by: -3 5 |