Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20748c |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1366380288 = 28 · 32 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1268,-16872] |
[a1,a2,a3,a4,a6] |
Generators |
[10302:36701:216] |
Generators of the group modulo torsion |
j |
881422162000/5337423 |
j-invariant |
L |
4.6862288303398 |
L(r)(E,1)/r! |
Ω |
0.80029407718852 |
Real period |
R |
5.8556335276187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992ct2 62244n2 |
Quadratic twists by: -4 -3 |