Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248ck |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-422369052384559104 = -1 · 223 · 315 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13910401,-19973720449] |
[a1,a2,a3,a4,a6] |
Generators |
[6047:342144:1] |
Generators of the group modulo torsion |
j |
-1135540872025530818401/1611210069216 |
j-invariant |
L |
5.6525042660049 |
L(r)(E,1)/r! |
Ω |
0.03908720414158 |
Real period |
R |
1.2051054366487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248g1 15312l1 |
Quadratic twists by: -4 8 |