Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6660f |
Isogeny class |
Conductor |
6660 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-797602399200000 = -1 · 28 · 39 · 55 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16752,-1594604] |
[a1,a2,a3,a4,a6] |
Generators |
[317:4995:1] |
Generators of the group modulo torsion |
j |
-2785840267264/4273846875 |
j-invariant |
L |
4.5742952479695 |
L(r)(E,1)/r! |
Ω |
0.19903443511806 |
Real period |
R |
0.38304052305121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26640cd1 106560bi1 2220c1 33300i1 |
Quadratic twists by: -4 8 -3 5 |