Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73964d |
Isogeny class |
Conductor |
73964 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1618531518661376 = -1 · 28 · 113 · 416 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129997,-18100759] |
[a1,a2,a3,a4,a6] |
Generators |
[424:1681:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
2.062510013511 |
L(r)(E,1)/r! |
Ω |
0.12566463772023 |
Real period |
R |
2.7354685878541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44a2 |
Quadratic twists by: 41 |