Atkin-Lehner |
2- 3- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518z |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
-1292146424366742 = -1 · 2 · 316 · 75 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 5 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-827969,290192775] |
[a1,a2,a3,a4,a6] |
Generators |
[-603458530:28970692869:1191016] |
Generators of the group modulo torsion |
j |
-86106893636412814537/1772491665798 |
j-invariant |
L |
13.615601195259 |
L(r)(E,1)/r! |
Ω |
0.44581815775072 |
Real period |
R |
15.27035288866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37506c1 |
Quadratic twists by: -3 |