Atkin-Lehner |
3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2703c |
Isogeny class |
Conductor |
2703 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-72981 = -1 · 34 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 3- -3 -3 0 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67,206] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-4:1] |
Generators of the group modulo torsion |
j |
-33293019313/72981 |
j-invariant |
L |
1.9004529897953 |
L(r)(E,1)/r! |
Ω |
3.4604362386726 |
Real period |
R |
0.1372986567818 |
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 |
43248o1 8109i1 67575b1 45951c1 |
Quadratic twists by: -4 -3 5 17 |