Atkin-Lehner |
2+ 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010b |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-339039675000 = -1 · 23 · 39 · 55 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1740,-2584] |
[a1,a2,a3,a4,a6] |
j |
29589645357/17225000 |
j-invariant |
L |
1.136216312085 |
L(r)(E,1)/r! |
Ω |
0.56810815716909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010bh1 |
Quadratic twists by: -3 |