Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598v |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-714915077437766296 = -1 · 23 · 73 · 133 · 179 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26293,40658257] |
[a1,a2,a3,a4,a6] |
Generators |
[545:14466:1] |
Generators of the group modulo torsion |
j |
83281698863/29618354584 |
j-invariant |
L |
10.389295471117 |
L(r)(E,1)/r! |
Ω |
0.2216614545927 |
Real period |
R |
1.3019473385279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094h2 |
Quadratic twists by: 17 |