Atkin-Lehner |
3+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945l |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4733106325880625 = 34 · 54 · 72 · 114 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66240,5638272] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:1424:1] [-113:3476:1] |
Generators of the group modulo torsion |
j |
32142902669957237761/4733106325880625 |
j-invariant |
L |
4.5802946154657 |
L(r)(E,1)/r! |
Ω |
0.41620167706408 |
Real period |
R |
2.7512470923799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
65835i2 109725bx2 |
Quadratic twists by: -3 5 |