Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010bc |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-12203952799334400 = -1 · 214 · 39 · 52 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-193943,33349807] |
[a1,a2,a3,a4,a6] |
Generators |
[193:-1852:1] |
Generators of the group modulo torsion |
j |
-40987614972251403/620025036800 |
j-invariant |
L |
10.27240868029 |
L(r)(E,1)/r! |
Ω |
0.40191250439524 |
Real period |
R |
0.45640747000465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010g1 |
Quadratic twists by: -3 |