Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56840p |
Isogeny class |
Conductor |
56840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-7275520 = -1 · 210 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -1 -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,-1520] |
[a1,a2,a3,a4,a6] |
Generators |
[48:316:1] |
Generators of the group modulo torsion |
j |
-30596356/145 |
j-invariant |
L |
3.6467957443761 |
L(r)(E,1)/r! |
Ω |
0.60609811693804 |
Real period |
R |
3.0084202891797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113680p1 56840i1 |
Quadratic twists by: -4 -7 |