Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598t |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4393037558 = -1 · 2 · 7 · 13 · 176 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4526613,-3708763007] |
[a1,a2,a3,a4,a6] |
Generators |
[159796:1437609:64] |
Generators of the group modulo torsion |
j |
-424962187484640625/182 |
j-invariant |
L |
7.6035122923834 |
L(r)(E,1)/r! |
Ω |
0.051751890226393 |
Real period |
R |
8.1623559589273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9.0000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
182b3 |
Quadratic twists by: 17 |