Atkin-Lehner |
2+ 3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010z |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-86084292480468750 = -1 · 2 · 39 · 512 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61524,-15274170] |
[a1,a2,a3,a4,a6] |
Generators |
[781:-20703:1] |
Generators of the group modulo torsion |
j |
-35329203384890689/118085449218750 |
j-invariant |
L |
5.9582517040344 |
L(r)(E,1)/r! |
Ω |
0.13944408164879 |
Real period |
R |
0.89017936339057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20670ba1 |
Quadratic twists by: -3 |