Atkin-Lehner |
3+ 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945o |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
56350481504025555 = 33 · 5 · 7 · 1112 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-132667,-14734874] |
[a1,a2,a3,a4,a6] |
j |
258236455889265892921/56350481504025555 |
j-invariant |
L |
3.0484550097478 |
L(r)(E,1)/r! |
Ω |
0.25403791747898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835p3 109725bq3 |
Quadratic twists by: -3 5 |