Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946v |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
396242332704 = 25 · 33 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25302534,-48990608316] |
[a1,a2,a3,a4,a6] |
Generators |
[-3865554:1932792:1331] |
Generators of the group modulo torsion |
j |
74220219816682217473/16416 |
j-invariant |
L |
10.007880893429 |
L(r)(E,1)/r! |
Ω |
0.067314488535247 |
Real period |
R |
4.9557834730677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98838i4 114c3 |
Quadratic twists by: -3 17 |