Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79560r |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-130339604079360 = -1 · 28 · 313 · 5 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11652,259508] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:306:1] [-2:486:1] |
Generators of the group modulo torsion |
j |
937470577664/698407515 |
j-invariant |
L |
10.271057002577 |
L(r)(E,1)/r! |
Ω |
0.37369369462035 |
Real period |
R |
0.57260895033513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520q1 |
Quadratic twists by: -3 |