Atkin-Lehner |
3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47481i |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
376910396918937 = 35 · 710 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-348700514,2506119741110] |
[a1,a2,a3,a4,a6] |
Generators |
[1347595:-673588:125] |
Generators of the group modulo torsion |
j |
39855956368379837196953233/3203685513 |
j-invariant |
L |
1.8370087503873 |
L(r)(E,1)/r! |
Ω |
0.20606725332318 |
Real period |
R |
4.4573039159643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783c3 |
Quadratic twists by: -7 |