Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714q |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-73287839664 = -1 · 24 · 313 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -5 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14306,662289] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-9:1] |
Generators of the group modulo torsion |
j |
-2628062448817/594864 |
j-invariant |
L |
12.143208860524 |
L(r)(E,1)/r! |
Ω |
1.0630808763144 |
Real period |
R |
1.4278322010908 |
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 |
17238c1 51714e1 |
Quadratic twists by: -3 13 |