Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675z |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3166387294921875 = 310 · 510 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40730,-1626978] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1050:1] |
Generators of the group modulo torsion |
j |
656008386769/277981875 |
j-invariant |
L |
4.1617371114634 |
L(r)(E,1)/r! |
Ω |
0.34907166042283 |
Real period |
R |
1.4902875195637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225e2 14535n2 |
Quadratic twists by: -3 5 |