Atkin-Lehner |
2- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8030i |
Isogeny class |
Conductor |
8030 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
12495226040 = 23 · 5 · 11 · 734 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2458,47201] |
[a1,a2,a3,a4,a6] |
j |
1641737408164209/12495226040 |
j-invariant |
L |
3.8155951429965 |
L(r)(E,1)/r! |
Ω |
1.2718650476655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64240l3 72270o3 40150c3 88330d3 |
Quadratic twists by: -4 -3 5 -11 |