Atkin-Lehner |
2- 3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402bv |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
58205824863805836 = 22 · 39 · 72 · 17 · 316 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127229,-13020807] |
[a1,a2,a3,a4,a6] |
Generators |
[-1994:15213:8] |
Generators of the group modulo torsion |
j |
312428989940618377/79843381157484 |
j-invariant |
L |
12.560613300416 |
L(r)(E,1)/r! |
Ω |
0.25755131140561 |
Real period |
R |
6.0961703279907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134h2 |
Quadratic twists by: -3 |