Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645q |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3638131557518255625 = -1 · 36 · 54 · 418 |
Discriminant |
Eigenvalues |
1 3- 5- -2 6 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242379,102681810] |
[a1,a2,a3,a4,a6] |
Generators |
[1266:42072:1] |
Generators of the group modulo torsion |
j |
-454756609/1050625 |
j-invariant |
L |
8.8537852806927 |
L(r)(E,1)/r! |
Ω |
0.22106143850852 |
Real period |
R |
5.0064053122557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8405a2 1845f2 |
Quadratic twists by: -3 41 |