Atkin-Lehner |
3+ 5- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19995f |
Isogeny class |
Conductor |
19995 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-14576355 = -1 · 37 · 5 · 31 · 43 |
Discriminant |
Eigenvalues |
2 3+ 5- 5 -1 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,40,143] |
[a1,a2,a3,a4,a6] |
Generators |
[-1790:7419:1000] |
Generators of the group modulo torsion |
j |
6902411264/14576355 |
j-invariant |
L |
10.368830048751 |
L(r)(E,1)/r! |
Ω |
1.53889612737 |
Real period |
R |
6.737836208914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59985j1 99975n1 |
Quadratic twists by: -3 5 |