Atkin-Lehner |
3- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807g |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
7271297461989 = 313 · 11 · 17 · 293 |
Discriminant |
Eigenvalues |
-2 3- 1 3 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5547,91944] |
[a1,a2,a3,a4,a6] |
Generators |
[14:130:1] |
Generators of the group modulo torsion |
j |
25892303048704/9974344941 |
j-invariant |
L |
3.6944419913911 |
L(r)(E,1)/r! |
Ω |
0.6782633720567 |
Real period |
R |
0.90781893474355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16269j1 |
Quadratic twists by: -3 |