Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
51660c |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
165600 |
Modular degree for the optimal curve |
Δ |
-6862514400000 = -1 · 28 · 36 · 55 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103368,12792292] |
[a1,a2,a3,a4,a6] |
Generators |
[168:410:1] |
Generators of the group modulo torsion |
j |
-654507396653056/36771875 |
j-invariant |
L |
6.2916349881339 |
L(r)(E,1)/r! |
Ω |
0.70745751488713 |
Real period |
R |
1.4822173901403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5740c1 |
Quadratic twists by: -3 |