Atkin-Lehner |
2- 3- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010bm |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-78481406250 = -1 · 2 · 36 · 57 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1193,21107] |
[a1,a2,a3,a4,a6] |
Generators |
[5524:44911:64] |
Generators of the group modulo torsion |
j |
-257380823881/107656250 |
j-invariant |
L |
7.4528727869237 |
L(r)(E,1)/r! |
Ω |
1.0174719050251 |
Real period |
R |
7.3248929527921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890c1 |
Quadratic twists by: -3 |