Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598l |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1212888024314197868 = -1 · 22 · 715 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 5 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1455146,-678309776] |
[a1,a2,a3,a4,a6] |
Generators |
[1454:16080:1] |
Generators of the group modulo torsion |
j |
-69358089820962483449/246873198517036 |
j-invariant |
L |
3.4669645436319 |
L(r)(E,1)/r! |
Ω |
0.068714807833518 |
Real period |
R |
0.84090670141909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598e2 |
Quadratic twists by: 17 |