Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730x |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-192630216761718750 = -1 · 2 · 39 · 59 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171144,34518150] |
[a1,a2,a3,a4,a6] |
Generators |
[375:4605:1] |
Generators of the group modulo torsion |
j |
-760470979826452609/264238980468750 |
j-invariant |
L |
4.9800996313186 |
L(r)(E,1)/r! |
Ω |
0.30032187945075 |
Real period |
R |
1.3818783478884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14910bd2 |
Quadratic twists by: -3 |