Atkin-Lehner |
11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58619b |
Isogeny class |
Conductor |
58619 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-24372528478069739 = -1 · 115 · 736 |
Discriminant |
Eigenvalues |
-2 -1 -1 2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-55066,-8990270] |
[a1,a2,a3,a4,a6] |
Generators |
[63582:101143:216] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
1.6056445140931 |
L(r)(E,1)/r! |
Ω |
0.14854971300488 |
Real period |
R |
5.4044012671635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11a1 |
Quadratic twists by: 73 |