Atkin-Lehner |
3+ 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945o |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
161342535445245 = 312 · 5 · 74 · 113 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-675117,213227316] |
[a1,a2,a3,a4,a6] |
j |
34029992181649134789721/161342535445245 |
j-invariant |
L |
3.0484550097478 |
L(r)(E,1)/r! |
Ω |
0.50807583495797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835p4 109725bq4 |
Quadratic twists by: -3 5 |