Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598m |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1517824 |
Modular degree for the optimal curve |
Δ |
-529240551077009408 = -1 · 211 · 77 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 1 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1331862,592091860] |
[a1,a2,a3,a4,a6] |
Generators |
[817:6672:1] |
Generators of the group modulo torsion |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
2.5877738750254 |
L(r)(E,1)/r! |
Ω |
0.29321966127293 |
Real period |
R |
0.63038402770965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
182c1 |
Quadratic twists by: 17 |