Atkin-Lehner |
2- 3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010bw |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
84885489000000 = 26 · 36 · 56 · 133 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18833,-885823] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:280:1] |
Generators of the group modulo torsion |
j |
1013288430066121/116441000000 |
j-invariant |
L |
6.6314836085971 |
L(r)(E,1)/r! |
Ω |
0.41059259173023 |
Real period |
R |
0.89727813761515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000187 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890h1 |
Quadratic twists by: -3 |