Atkin-Lehner |
2+ 3- 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530o |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2435998507299067500 = -1 · 22 · 37 · 54 · 194 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,234846,-61050672] |
[a1,a2,a3,a4,a6] |
Generators |
[307:6164:1] |
Generators of the group modulo torsion |
j |
1964918972535908831/3341561738407500 |
j-invariant |
L |
5.1520956836389 |
L(r)(E,1)/r! |
Ω |
0.13555232534883 |
Real period |
R |
2.3755105591127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510p3 |
Quadratic twists by: -3 |