Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675u |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
105614159765625 = 38 · 58 · 72 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32855,-2229978] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:255:1] |
Generators of the group modulo torsion |
j |
344324701729/9272025 |
j-invariant |
L |
4.1322814153246 |
L(r)(E,1)/r! |
Ω |
0.35519282214505 |
Real period |
R |
2.9084775632258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15225d2 9135g2 |
Quadratic twists by: -3 5 |