Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270y |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-7936353710899200 = -1 · 222 · 36 · 52 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14240,4334592] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-1952:1] |
Generators of the group modulo torsion |
j |
-3075827761007/76441190400 |
j-invariant |
L |
13.576112173594 |
L(r)(E,1)/r! |
Ω |
0.34817454513356 |
Real period |
R |
0.29539590439157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66270x1 |
Quadratic twists by: -47 |