Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080k |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-20971866030080 = -1 · 221 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -6 7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356321,-81748895] |
[a1,a2,a3,a4,a6] |
Generators |
[969:21952:1] |
Generators of the group modulo torsion |
j |
-19085751483878521/80001320 |
j-invariant |
L |
3.897499417148 |
L(r)(E,1)/r! |
Ω |
0.097703246234718 |
Real period |
R |
1.6621331972717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38080bd2 1190c2 |
Quadratic twists by: -4 8 |