Atkin-Lehner |
3+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945l |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
268791050562890625 = 38 · 58 · 74 · 112 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-284645,-52981630] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:2113:1] [-322:2488:1] |
Generators of the group modulo torsion |
j |
2550553784033771209681/268791050562890625 |
j-invariant |
L |
4.5802946154657 |
L(r)(E,1)/r! |
Ω |
0.20810083853204 |
Real period |
R |
2.7512470923799 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65835i3 109725bx3 |
Quadratic twists by: -3 5 |