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 |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-19118499452416 = -1 · 29 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-100867,12290017] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1682:1] |
Generators of the group modulo torsion |
j |
-4701947389777/792064 |
j-invariant |
L |
10.389295471117 |
L(r)(E,1)/r! |
Ω |
0.66498436377811 |
Real period |
R |
0.43398244617596 |
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 |
3094h1 |
Quadratic twists by: 17 |