Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
62712i |
Isogeny class |
Conductor |
62712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-2053975532544 = -1 · 210 · 311 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1803,-74986] |
[a1,a2,a3,a4,a6] |
Generators |
[67:324:1] |
Generators of the group modulo torsion |
j |
-868327204/2751489 |
j-invariant |
L |
5.8053826007163 |
L(r)(E,1)/r! |
Ω |
0.33781940016563 |
Real period |
R |
1.0740543981916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424h1 20904b1 |
Quadratic twists by: -4 -3 |