Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714o |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-2.8621141157822E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 2 1 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2190272,-1489141533] |
[a1,a2,a3,a4,a6] |
Generators |
[3101:145185:1] |
Generators of the group modulo torsion |
j |
-1954084470169/481296384 |
j-invariant |
L |
11.253998075612 |
L(r)(E,1)/r! |
Ω |
0.061255237487922 |
Real period |
R |
4.5930758483244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17238b1 51714b1 |
Quadratic twists by: -3 13 |