Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598r |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-154740791296 = -1 · 211 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-964,-21913] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1693:1] |
Generators of the group modulo torsion |
j |
-20145851361/31496192 |
j-invariant |
L |
6.4611399242774 |
L(r)(E,1)/r! |
Ω |
0.40614501374017 |
Real period |
R |
0.24103720628659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598bf1 |
Quadratic twists by: 17 |