Atkin-Lehner |
3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47151d |
Isogeny class |
Conductor |
47151 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-8.046900349185E+19 |
Discriminant |
Eigenvalues |
-2 3- 2 -2 1 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-672789,481027108] |
[a1,a2,a3,a4,a6] |
Generators |
[871:23575:1] |
Generators of the group modulo torsion |
j |
-9571339399168/22868673867 |
j-invariant |
L |
2.5539611202933 |
L(r)(E,1)/r! |
Ω |
0.17061096403065 |
Real period |
R |
1.2474584770514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15717a1 3627b1 |
Quadratic twists by: -3 13 |